Ganguly, Debdip; Gupta, Diksha; Sreenadh, K. On a class of elliptic equations with critical perturbations in the hyperbolic space. (English) Zbl 07922729 Asymptotic Anal. 138, No. 4, 225-253 (2024). MSC: 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenjing; Huang, Xiaomeng Sign-changing bubble tower solutions for a Paneitz-type problem. (English) Zbl 1541.35183 Nonlinearity 37, No. 5, Article ID 055013, 39 p. (2024). MSC: 35J40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cowan, Craig; Moameni, Abbas On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions. (English) Zbl 1541.35248 Math. Ann. 389, No. 2, 1731-1794 (2024). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J91 35J25 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Ruijiang; Yang, Jianfu Multiple solutions to critical magnetic Schrödinger equations. (English) Zbl 07844465 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1373-1393 (2024). MSC: 35A15 35J60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Molle, Riccardo; Passaseo, Donato Nonexistence results for elliptic problems with supercritical growth in thin planar domains. (English) Zbl 1522.35257 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 66, 23 p. (2023). MSC: 35J62 35J25 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Sangdon; Kim, Seunghyeok Coron’s problem for the critical Lane-Emden system. (English) Zbl 1522.35225 J. Funct. Anal. 285, No. 8, Article ID 110077, 52 p. (2023). Reviewer: Simone Secchi (Milano) MSC: 35J57 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benhamida, Asma; Hadiji, Rejebquat A system with weights and with critical Sobolev exponent. (English) Zbl 1519.35144 Eur. J. Math. 9, No. 3, Paper No. 54, 22 p. (2023). MSC: 35J62 35J25 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Shengbing; Li, Benniao Concentration on the Clifford torus for the critical problem in an annulus. (English) Zbl 1514.35221 J. Differ. Equations 364, 152-180 (2023). MSC: 35J91 35J25 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhongyuan; Luo, Peng A new perturbation to a critical elliptic problem with a variable exponent. (English) Zbl 1514.35225 Sci. China, Math. 66, No. 5, 1021-1040 (2023). MSC: 35J91 35J05 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Fanqin; Yang, Jianfu; Yu, Xiaohui Positive solutions to multi-critical elliptic problems. (English) Zbl 1512.35173 Ann. Mat. Pura Appl. (4) 202, No. 2, 851-875 (2023). MSC: 35J05 35J91 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aghajani, A.; Cowan, C. An elliptic problem involving large advection. (English) Zbl 1512.35161 Potential Anal. 58, No. 3, 545-560 (2023). MSC: 35J05 35J91 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Cowan, Craig; Moameni, Abbas Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach. (English) Zbl 1506.35095 J. Differ. Equations 341, 292-323 (2022). Reviewer: Simone Secchi (Milano) MSC: 35J91 35J05 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdelhedi, Wael; Mhamdi, Zeinab On a nonlinear elliptic fractional problem under mixed boundary condition: effect of the geometry of the domain. (English) Zbl 1505.35174 Differ. Geom. Appl. 85, Article ID 101953, 15 p. (2022). MSC: 35J61 35R11 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Candela, Anna Maria; Sportelli, Caterina Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth. (English) Zbl 1500.35141 Ann. Mat. Pura Appl. (4) 201, No. 5, 2341-2369 (2022). MSC: 35J57 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cowan, C. Supercritical problems via a fixed point argument on the cone of monotonic functions. (English) Zbl 1503.35077 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 6, Paper No. 68, 24 p. (2022). Reviewer: Giovanni Anello (Messina) MSC: 35J25 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wenjing; Long, Wei; Yang, Jianfu Sign-changing bubble tower solutions for a critical fractional problem. (English) Zbl 1497.35212 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113054, 17 p. (2022). MSC: 35J61 35R11 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Ziyi; Yang, Jianfu Multiple solutions to multi-critical Schrödinger equations. (English) Zbl 1497.35131 Adv. Nonlinear Stud. 22, 273-288 (2022). MSC: 35J10 35J20 35J61 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Aissaoui, Narimane; Li, Benniao; Long, Wei Two solutions for fractional elliptic systems. (English) Zbl 1481.35373 Acta Appl. Math. 178, Paper No. 3, 21 p. (2022). MSC: 35R11 35J60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jianfu; Zhu, Liping Multiple solutions to Choquard equation in exterior domain. (English) Zbl 1480.35265 J. Math. Anal. Appl. 507, No. 1, Article ID 125726, 15 p. (2022). MSC: 35J91 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Aghajani, A.; Cowan, C. A supercritical variable exponent problem. (English) Zbl 1479.35457 J. Math. Anal. Appl. 505, No. 2, Article ID 125603, 9 p. (2022). MSC: 35J91 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Molle, Riccardo; Passaseo, Donato Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains. (English) Zbl 1487.35203 Adv. Nonlinear Stud. 21, No. 1, 189-198 (2021). MSC: 35J20 35J60 35J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Molle, Riccardo; Passaseo, Donato Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth. (English) Zbl 1479.35429 Topol. Methods Nonlinear Anal. 57, No. 2, 535-546 (2021). MSC: 35J62 35J25 35A01 35A02 35J20 × Cite Format Result Cite Review PDF Full Text: arXiv
Naimen, Daisuke; Takahashi, Futoshi A note on radial solutions to the critical Lane-Emden equation with a variable coefficient. (English) Zbl 1475.35164 Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 273-290 (2021). MSC: 35J91 35J25 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aghajani, A.; Cowan, C. Some elliptic problems involving the gradient on general bounded and exterior domains. (English) Zbl 1473.35284 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 188, 23 p. (2021). MSC: 35J91 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cowan, Craig Supercritical elliptic problems involving a Cordes like operator. (English) Zbl 1466.35107 Discrete Contin. Dyn. Syst. 41, No. 9, 4297-4318 (2021). MSC: 35J15 35J61 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben Ayed, Mohamed; Dammak, Yessine Construction of solutions of an supercritical elliptic PDE in low dimensions. (English) Zbl 1465.35150 Ann. Mat. Pura Appl. (4) 200, No. 1, 51-66 (2021). MSC: 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fengshuang; Guo, Yuxia Multiple solutions for quasilinear elliptic equations with critical exponents in \(\mathbb{R} N\). (English) Zbl 1460.35168 Pac. J. Math. 310, No. 1, 49-83 (2021). MSC: 35J91 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Pistoia, Angela; Vaira, Giusi Nondegeneracy of the bubble for the critical \(p\)-Laplace equation. (English) Zbl 1464.35115 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 151-168 (2021). Reviewer: Laurent Véron (Tours) MSC: 35J60 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cowan, Craig; Razani, Abdolrahman Singular solutions of a Lane-Emden system. (English) Zbl 1459.35141 Discrete Contin. Dyn. Syst. 41, No. 2, 621-656 (2021). MSC: 35J57 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengbing; Musso, Monica High energy sign-changing solutions for Coron’s problem. (English) Zbl 1458.35198 J. Differ. Equations 271, 916-962 (2021). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J91 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kou, Bingyu; An, Tianqing; Wang, Zeyan The Pohozaev-type inequalities and their applications for a kind of elliptic equation (system). (English) Zbl 1489.35148 Bound. Value Probl. 2020, Paper No. 178, 17 p. (2020). MSC: 35J92 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Druet, Olivier; Thizy, Pierre-Damien Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points. (English) Zbl 1458.35167 J. Eur. Math. Soc. (JEMS) 22, No. 12, 4025-4096 (2020). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J60 35A24 35B09 35B40 35B44 35B45 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Haidong; Liu, Zhaoli A coupled Schrödinger system with critical exponent. (English) Zbl 1448.35170 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 145, 28 p. (2020). MSC: 35J47 35B33 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fengshuang; Guo, Yuxia Infinitely many solutions for quasilinear equations with critical exponent and Hardy potential in \(\mathbb{R}^N\). (English) Zbl 1442.35135 Discrete Contin. Dyn. Syst. 40, No. 9, 5591-5616 (2020). MSC: 35J62 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Cowan, C.; Razani, A. Singular solutions of a \(p\)-Laplace equation involving the gradient. (English) Zbl 1440.35177 J. Differ. Equations 269, No. 4, 3914-3942 (2020). MSC: 35J92 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Molle, Riccardo; Passaseo, Donato Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains. (English) Zbl 1437.35311 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 1, 121-130 (2020). MSC: 35J60 35J67 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Fengshuang; Guo, Yuxia Infinitely many solutions for critical quasilinear equations involving Hardy potential. (English) Zbl 1440.35152 Commun. Contemp. Math. 22, No. 3, Article ID 1950020, 28 p. (2020). MSC: 35J62 35B33 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Goel, Divya; Rădulescu, Vicenţiu D.; Sreenadh, K. Coron problem for nonlocal equations involving Choquard nonlinearity. (English) Zbl 1437.35234 Adv. Nonlinear Stud. 20, No. 1, 141-161 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J25 35A15 35J60 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pistoia, Angela; Soave, Nicola; Tavares, Hugo A fountain of positive bubbles on a Coron’s problem for a competitive weakly coupled gradient system. (English. French summary) Zbl 1437.35026 J. Math. Pures Appl. (9) 135, 159-198 (2020). Reviewer: Zhijie Chen (Beijing) MSC: 35B25 35B09 35J57 35B44 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Divya; Sreenadh, Konijeti Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains. (English) Zbl 1430.35100 Adv. Nonlinear Anal. 9, 803-835 (2020). MSC: 35J91 35B09 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Alves, Claudianor O.; Ercole, Grey; Huamán Bolaños, M. Daniel Ground state solutions for a semilinear elliptic problem with critical-subcritical growth. (English) Zbl 1421.35144 Adv. Nonlinear Anal. 9, 108-123 (2020). MSC: 35J91 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Pang, Lu; Li, Xueqin; Zhang, Yajing Existence of multiple positive solutions for fractional Laplace problems with critical growth and sign-changing weight in non-contractible domains. (English) Zbl 1513.35024 Bound. Value Probl. 2019, Paper No. 81, 29 p. (2019). MSC: 35A15 35S15 35R11 35B09 58E05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Farina, Alberto; Mercuri, Carlo; Willem, Michel A Liouville theorem for the \(p\)-Laplacian and related questions. (English) Zbl 1421.35170 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 153, 13 p. (2019). MSC: 35J92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Wei; Yan, Shusen; Yang, Jianfu A critical elliptic problem involving fractional Laplacian operator in domains with shrinking holes. (English) Zbl 1423.35112 J. Differ. Equations 267, No. 7, 4117-4147 (2019). Reviewer: Vladimir Bobkov (Plzeň) MSC: 35J61 35R11 35B33 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fengshuang; Guo, Yuxia Solutions for critical quasilinear elliptic equations in \(\mathbb{R}^N\). (English) Zbl 1412.35134 J. Math. Phys. 60, No. 2, 021502, 26 p. (2019). MSC: 35J62 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Aghajani, A.; Cowan, C. Singular solutions of elliptic equations on a perturbed cone. (English) Zbl 1412.35141 J. Differ. Equations 266, No. 6, 3328-3366 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35A01 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Yinbin; Guo, Yuxia; Yan, Shusen Multiple solutions for critical quasilinear elliptic equations. (English) Zbl 1404.35188 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 2, 26 p. (2019). MSC: 35J62 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Hadiji, Rejeb; Vigneron, François Existence of solutions of a non-linear eigenvalue problem with a variable weight. (English) Zbl 1405.35124 J. Differ. Equations 266, No. 2-3, 1488-1513 (2019). Reviewer: Vladimir Bobkov (Plzeň) MSC: 35P30 35A01 35A15 35J25 35J62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hadiji, Rejeb; Baraket, Sami; Yazidi, Habib The effect of a discontinuous weight for a critical Sobolev problem. (English) Zbl 1401.35053 Appl. Anal. 97, No. 14, 2544-2553 (2018). MSC: 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen Infinitely many non-radial solutions to a critical equation on annulus. (English) Zbl 1405.35061 J. Differ. Equations 265, No. 9, 4076-4100 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35J91 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Figueiredo, Giovany M.; Molica Bisci, Giovanni; Servadei, Raffaella The effect of the domain topology on the number of solutions of fractional Laplace problems. (English) Zbl 1423.35110 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 103, 24 p. (2018). Reviewer: Luigi Rodino (Torino) MSC: 35J61 35R11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pistoia, Angela; Soave, Nicola On Coron’s problem for weakly coupled elliptic systems. (English) Zbl 1390.35068 Proc. Lond. Math. Soc. (3) 116, No. 1, 33-67 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J15 35J20 35J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aghajani, A.; Cowan, C.; Lui, S. H. Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball. (English) Zbl 1387.35303 J. Differ. Equations 264, No. 4, 2865-2896 (2018). Reviewer: Denise Huet (Nancy) MSC: 35J75 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Aghajani, A.; Cowan, C.; Lui, S. H. Existence and regularity of nonlinear advection problems. (English) Zbl 1379.35058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 166, 19-47 (2018). MSC: 35J05 35J62 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Struwe, Michael Variational methods in geometry. (English) Zbl 1371.49038 Jahresber. Dtsch. Math.-Ver. 119, No. 2, 71-91 (2017). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49Q05 49-02 53-02 58-02 58E05 58E10 58E12 58E20 53C22 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Sharaf, Khadijah A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition. (English) Zbl 1368.35077 Discrete Contin. Dyn. Syst. 37, No. 3, 1691-1706 (2017). MSC: 35J05 35J65 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yuxia; Liu, Jiaquan; Wang, Zhi-Qiang On a Brezis-Nirenberg type quasilinear problem. (English) Zbl 1372.35112 J. Fixed Point Theory Appl. 19, No. 1, 719-753 (2017). Reviewer: Junichi Aramaki (Saitama) MSC: 35J62 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Musso, Monica Sign-changing blowing-up solutions for a non-homogeneous elliptic equation at the critical exponent. (English) Zbl 1368.35124 J. Fixed Point Theory Appl. 19, No. 1, 345-361 (2017). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J61 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Ai, Shangbing; Cowan, Craig Perturbations of Lane-Emden and Hamilton-Jacobi equations: the full space case. (English) Zbl 1357.35118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 227-251 (2017). MSC: 35J47 35B09 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Shuangjie; Peng, Yan-fang; Wang, Zhi-Qiang On elliptic systems with Sobolev critical growth. (English) Zbl 1364.35091 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 142, 30 p. (2016). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35J57 × Cite Format Result Cite Review PDF Full Text: DOI
Do Ó, João Marcos; Ruf, Bernhard; Ubilla, Pedro On supercritical Sobolev type inequalities and related elliptic equations. (English) Zbl 1356.35106 Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 83, 18 p. (2016). MSC: 35J20 35J25 35J50 35B33 × Cite Format Result Cite Review PDF Full Text: DOI Link
Beauchard, Karine (ed.); Trélat, Emmanuel (ed.) Preface: Special issue in honor of Jean-Michel Coron for his 60th birthday. (English) Zbl 1354.01018 ESAIM, Control Optim. Calc. Var. 22, No. 4, 913-920 (2016). MSC: 01A70 00B30 93-06 35-06 49-06 × Cite Format Result Cite Review PDF Full Text: DOI
Mazumdar, Saikat GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions. (English) Zbl 1348.58011 J. Differ. Equations 261, No. 9, 4997-5034 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 35B33 35A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wang, Chunhua; Xiang, Chang-Lin Infinitely many solutions for quasilinear elliptic equations involving double critical terms and boundary geometry. (English) Zbl 1346.35052 Ann. Acad. Sci. Fenn., Math. 41, No. 2, 973-1004 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35J40 35J60 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Mercuri, Carlo; Riey, Giuseppe; Sciunzi, Berardino A regularity result for the \(p\)-Laplacian near uniform ellipticity. (English) Zbl 1342.35121 SIAM J. Math. Anal. 48, No. 3, 2059-2075 (2016). MSC: 35J92 35B33 35B06 35D30 35J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ai, Shangbing; Cowan, Craig Perturbations of Lane-Emden and Hamilton-Jacobi equations. II: Exterior domains. (English) Zbl 1337.35040 J. Differ. Equations 260, No. 11, 8025-8050 (2016). MSC: 35J25 35J60 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
D’Aprile, Teresa Multi-bubble solutions for a slightly supercritical elliptic problem in a domain with a small hole. (English. French summary) Zbl 1337.35034 J. Math. Pures Appl. (9) 105, No. 4, 558-602 (2016). MSC: 35J20 35B40 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Furtado, Marcelo F.; Souza, Bruno N. Positive and nodal solutions for an elliptic equation with critical growth. (English) Zbl 1342.35112 Commun. Contemp. Math. 18, No. 2, Article ID 1550021, 16 p. (2016). Reviewer: Christian Stinner (Kaiserslautern) MSC: 35J61 35B33 35J25 58E05 35D30 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Musso, Monica; Wei, Juncheng Sign-changing blowing-up solutions for supercritical Bahri-Coron’s problem. (English) Zbl 1408.35007 Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 1, 39 p. (2016). MSC: 35B44 35B09 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ianni, Isabella; Musso, Monica; Pistoia, Angela Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole. (English) Zbl 1334.35168 Commun. Contemp. Math. 18, No. 1, Article ID 1550017, 18 p. (2016). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K91 35B35 35B44 35J91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhakta, Mousomi Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential. (English) Zbl 1326.35118 J. Math. Anal. Appl. 433, No. 1, 681-700 (2016). MSC: 35J35 35B33 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mosconi, Sunra; Shioji, Naoki; Squassina, Marco Nonlocal problems at critical growth in contractible domains. (English) Zbl 1333.35328 Asymptotic Anal. 95, No. 1-2, 79-100 (2015). MSC: 35R11 35A01 35B09 35B33 35J25 35J91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mercuri, Carlo; Sciunzi, Berardino; Squassina, Marco On Coron’s problem for the \(p\)-Laplacian. (English) Zbl 1298.35095 J. Math. Anal. Appl. 421, No. 1, 362-369 (2015). MSC: 35J92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Struwe, Michael The supercritical Lane-Emden equation and its gradient flow. (English) Zbl 1307.35097 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 25, No. 4, 359-367 (2014). MSC: 35J20 35B65 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Seunghyeok; Pistoia, Angela Supercritical problems in domains with thin toroidal holes. (English) Zbl 1304.35282 Discrete Contin. Dyn. Syst. 34, No. 11, 4671-4688 (2014). MSC: 35J60 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor O.; Figueiredo, Giovany M. Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field. (English) Zbl 1304.35630 Milan J. Math. 82, No. 2, 389-405 (2014). MSC: 35Q55 35A15 35H30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Damascelli, Lucio; Merchán, Susana; Montoro, Luigi; Sciunzi, Berardino Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\). (English) Zbl 1316.35135 Adv. Math. 265, 313-335 (2014). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35J75 35B33 35B06 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Haining; Liu, Xiaochun Multiple positive solutions to a class of quasi-linear elliptic equations involving critical Sobolev exponent. (English) Zbl 1300.35015 Monatsh. Math. 174, No. 3, 427-447 (2014). Reviewer: Gelu Paşa (Bucureşti) MSC: 35J20 35J50 35J60 35B09 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Malchiodi, Andrea; Martinazzi, Luca Critical points of the Moser-Trudinger functional on a disk. (English) Zbl 1304.49011 J. Eur. Math. Soc. (JEMS) 16, No. 5, 893-908 (2014). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 49J20 35B38 35B44 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mercuri, Carlo; Pacella, Filomena On the pure critical exponent problem for the \(p\)-Laplacian. (English) Zbl 1292.35140 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 1075-1090 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35J92 35J20 35J60 35B33 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clapp, Mónica; Faya, Jorge Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology. (English) Zbl 1279.35049 Proc. Am. Math. Soc. 141, No. 12, 4339-4344 (2013). MSC: 35J66 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor O.; Figueiredo, Giovany M. Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik-Schnirelman theory. (English) Zbl 1268.35042 Math. Methods Appl. Sci. 36, No. 6, 683-694 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 35J30 35J35 35J58 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yuanyuan; Ruf, Bernhard; Guo, Qianqiao; Niu, Pengcheng Quasilinear elliptic problems with combined critical Sobolev-Hardy terms. (English) Zbl 1292.35104 Ann. Mat. Pura Appl. (4) 192, No. 1, 93-113 (2013). Reviewer: Marcelo Furtado (Brasília) MSC: 35J20 35J47 35J66 × Cite Format Result Cite Review PDF Full Text: DOI
Bae, Soohyun; Hadiji, Rejeb; Vigneron, François; Yazidi, Habib A non-linear problem involving a critical Sobolev exponent. (English) Zbl 1256.49002 J. Math. Anal. Appl. 396, No. 1, 98-107 (2012). MSC: 49J20 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
del Pino, Manuel; Musso, Monica; Ruf, Bernhard Beyond the Trudinger-Moser supremum. (English) Zbl 1246.46037 Calc. Var. Partial Differ. Equ. 44, No. 3-4, 543-576 (2012). MSC: 46E35 35J15 49J35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cao, Daomin; Peng, Shuangjie; Yan, Shusen Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth. (English) Zbl 1238.35038 J. Funct. Anal. 262, No. 6, 2861-2902 (2012). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J92 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena Asymptotically radial solutions in expanding annular domains. (English) Zbl 1276.35083 Math. Ann. 352, No. 2, 485-515 (2012). MSC: 35J61 35B09 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. (English) Zbl 1237.35082 J. Math. Anal. Appl. 388, No. 1, 525-538 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 35J92 35J75 35D30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Hirano, Norimichi; Shioji, Naoki Existence of two solutions for the Bahri-Coron problem in an annular domain with a thin hole. (English) Zbl 1235.35117 J. Funct. Anal. 261, No. 12, 3612-3632 (2011). Reviewer: John Urbas (Canberra) MSC: 35J60 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Juncheng; Yan, Shusen Infinitely many positive solutions for an elliptic problem with critical or supercritical growth. (English) Zbl 1253.31008 J. Math. Pures Appl. (9) 96, No. 4, 307-333 (2011). MSC: 31B99 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Juanjuan; Zhang, Yong; Zhao, Peihao Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case. (English) Zbl 1220.35059 J. Math. Anal. Appl. 381, No. 1, 215-228 (2011). MSC: 35J61 35J25 46E35 35J20 35B09 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Caldiroli, Paolo; Musina, Roberta Bubbles with prescribed mean curvature: the variational approach. (English) Zbl 1213.53012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 2985-2999 (2011). Reviewer: Magdalena Daniela Toda (Lubbock) MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ge, Yuxin; Wei, Juncheng; Zhou, Feng A critical elliptic problem for polyharmonic operators. (English) Zbl 1216.35074 J. Funct. Anal. 260, No. 8, 2247-2282 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J91 35J40 35A30 35B27 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Yuanyuan; Guo, Qianqiao; Niu, Pengcheng Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. (English) Zbl 1205.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1445-1464 (2011). MSC: 35J62 35J20 58E50 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Tsung-Fang Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight. (English) Zbl 1200.35138 J. Differ. Equations 249, No. 7, 1549-1578 (2010). MSC: 35J61 35J25 35J20 58E05 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tiexiang; Wu, Tsung-Fang Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent. (English) Zbl 1192.35064 J. Math. Anal. Appl. 369, No. 1, 245-257 (2010). MSC: 35J61 35J25 35J20 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
del Pino, Manuel; Musso, Monica; Ruf, Bernhard New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\). (English) Zbl 1191.35138 J. Funct. Anal. 258, No. 2, 421-457 (2010). Reviewer: Marcelo Furtado (Brasília) MSC: 35J61 35J25 35B38 35B44 35J20 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yuxia; Wei, Juncheng Supercritical biharmonic elliptic problems in domains with small holes. (English) Zbl 1187.35047 Math. Nachr. 282, No. 12, 1724-1739 (2009). Reviewer: Ricardo Ruiz Baier (Lausanne) MSC: 35J40 35B40 35B45 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Lamm, Tobias; Robert, Frédéric; Struwe, Michael The heat flow with a critical exponential nonlinearity. (English) Zbl 1387.35371 J. Funct. Anal. 257, No. 9, 2951-2998 (2009). MSC: 35K59 35J61 47J30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Guo, Qianqiao; Niu, Pengcheng; Wang, Yongzhong Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. (English) Zbl 1167.35337 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2944-2963 (2009). MSC: 35J20 35J60 58E50 × Cite Format Result Cite Review PDF Full Text: DOI