Li, Mingxiang The total Q-curvature, volume entropy and polynomial growth polyharmonic functions. (English) Zbl 07872187 Adv. Math. 450, Article ID 109768, 43 p. (2024). Reviewer: John Urbas (Canberra) MSC: 53C18 53C20 58J90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Shihong The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior. (English) Zbl 07872180 Adv. Math. 450, Article ID 109761, 36 p. (2024). Reviewer: Tobias König (Frankfurt am Main) MSC: 53C20 53C21 45M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Mingxiang A Liouville-type theorem in conformally invariant equations. (English) Zbl 1541.35171 Math. Ann. 389, No. 3, 2499-2517 (2024). MSC: 35J15 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Mingxiang; Xu, Xingwang Asymptotic behavior of conformal metrics on torus. (English) Zbl 1534.35090 Discrete Contin. Dyn. Syst. 44, No. 5, 1376-1394 (2024). MSC: 35J05 35J91 35J58 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Di; Zhang, Xi Prescribing Chern scalar curvatures on noncompact manifolds. (English) Zbl 1533.35142 J. Differ. Equations 387, 448-470 (2024). MSC: 35J61 58J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernardini, Chiara Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature. (English) Zbl 1512.35327 Vietnam J. Math. 51, No. 2, 463-487 (2023). MSC: 35J91 35J15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Zhi-You; Wang, Chung-Yang; Huang, Yu-Jen On the asymptotic behavior of solutions for the self-dual Maxwell-Chern-Simons \(O(3)\) sigma model. (English) Zbl 1498.35224 Discrete Contin. Dyn. Syst. 42, No. 10, 4887-4903 (2022). MSC: 35J47 35J61 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Kavallaris, Nikos I.; Suzuki, Takashi Gradient inequality and convergence to steady-states of the normalized Ricci flow on surfaces. (English) Zbl 1490.35042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112906, 23 p. (2022). MSC: 35B40 35K93 53E20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chern, Jann-Long; Chen, Zhi-You; Shen, Hung-Ying Classification of solutions for self-dual Chern-Simons CP(1) model. (English) Zbl 1461.81082 J. Math. Phys. 62, No. 3, Article ID 031510, 25 p. (2021). MSC: 81T13 35B40 58J28 × Cite Format Result Cite Review PDF Full Text: DOI
Struwe, Michael “Bubbling” of the prescribed curvature flow on the torus. (English) Zbl 1458.35151 J. Eur. Math. Soc. (JEMS) 22, No. 10, 3223-3262 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35J20 35K58 53E20 × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Changfeng; Moradifam, Amir The sphere covering inequality and its applications. (English) Zbl 1410.53037 Invent. Math. 214, No. 3, 1169-1204 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 53C21 35J60 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gui, Changfeng; Moradifam, Amir Uniqueness of solutions of mean field equations in \(R^2\). (English) Zbl 1387.35011 Proc. Am. Math. Soc. 146, No. 3, 1231-1242 (2018). MSC: 35A02 35B30 35J60 35A23 35J91 35B10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tarantello, Gabriella Blow-up analysis for a cosmic strings equation. (English) Zbl 1354.35152 J. Funct. Anal. 272, No. 1, 255-338 (2017). MSC: 35Q76 35B44 35J47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tarantello, Gabriella Analytical issues in the construction of self-dual Chern-Simons vortices. (English) Zbl 1357.81137 Milan J. Math. 84, No. 2, 269-298 (2016). MSC: 81T10 81T13 81T60 81V05 81V35 58J28 × Cite Format Result Cite Review PDF Full Text: DOI
Choe, Kwangseok; Han, Jongmin; Lee, Youngae; Lin, Chang-Shou Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus. (English) Zbl 1327.35103 Calc. Var. Partial Differ. Equ. 54, No. 2, 1275-1329 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35B10 35B35 35B40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Bartolucci, Daniele; Lee, Youngae; Lin, Chang-Shou; Onodera, Michiaki Asymptotic analysis of solutions to a gauged O(3) sigma model. (English) Zbl 1321.35239 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 3, 651-685 (2015). MSC: 35Q82 35B40 82D40 35B44 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kavallaris, Nikos I.; Suzuki, Takashi An analytic approach to the normalized Ricci flow-like equation: revisited. (English) Zbl 1432.35122 Appl. Math. Lett. 44, 30-33 (2015). MSC: 35K55 35J20 53E20 × Cite Format Result Cite Review PDF Full Text: DOI
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem. (English) Zbl 1312.81121 Commun. Math. Phys. 336, No. 1, 337-380 (2015). MSC: 81S22 30E25 32G34 35J47 35J61 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pei, Rui Chang A remark on the generalized second order Toda system. (English) Zbl 1283.35033 Acta Math. Sin., Engl. Ser. 29, No. 9, 1691-1702 (2013). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35B40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yihong; Ma, Li A Liouville theorem for conformal Gaussian curvature type equations in \({\mathbb{R}}^2\). (English) Zbl 1235.35115 Calc. Var. Partial Differ. Equ. 43, No. 3-4, 485-505 (2012). MSC: 35J60 53C21 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Bartolucci, Daniele; Lin, Chang-Shou; Tarantello, Gabriella Uniqueness and symmetry results for solutions of a mean field equation on \(\mathbb S^{2}\) via a new bubbling phenomenon. (English) Zbl 1250.58009 Commun. Pure Appl. Math. 64, No. 12, 1677-1730 (2011). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghoussoub, Nassif; Lin, Chang-Shou On the best constant in the Moser-Onofri-Aubin inequality. (English) Zbl 1211.58009 Commun. Math. Phys. 298, No. 3, 869-878 (2010). MSC: 58E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kavallaris, Nikos I.; Suzuki, Takashi An analytic approach to the normalized Ricci flow-like equation. (English) Zbl 1184.35058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2300-2317 (2010). MSC: 35B40 35B45 58J35 35R09 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhi-You; Chern, Jann-Long; Tang, Yong-Li The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex. (English) Zbl 1182.35105 Tohoku Math. J. (2) 61, No. 2, 287-307 (2009). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J60 35B99 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Xiaohong; Li, Jiayu Asymptotic behavior of the Chern-Simons Higgs 6-th theory. (English) Zbl 1135.58006 Commun. Partial Differ. Equations 32, No. 10, 1473-1492 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 58E15 35J60 58J60 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong A system of elliptic equations arising in Chern-Simons field theory. (English) Zbl 1206.35096 J. Funct. Anal. 247, No. 2, 289-350 (2007). MSC: 35J50 35J60 81T45 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xingwang Uniqueness and non-existence theorems for conformally invariant equations. (English) Zbl 1069.53013 J. Funct. Anal. 222, No. 1, 1-28 (2005). MSC: 53A30 31B10 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun Yan Liouville-type theorems for conformal Gaussian curvature equations in \(\mathbb R^2\). (English) Zbl 1137.53306 Acta Math. Sin., Engl. Ser. 19, No. 1, 63-68 (2003). MSC: 53A10 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Chanillo, Sagun; Kiessling, Michael K.-H. The conformal plate buckling equation. (English) Zbl 1235.35112 Commun. Pure Appl. Math. 55, No. 4, 509-535 (2002). MSC: 35J60 35J30 74G60 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chanillo, Sagun; Kiessling, Michael Surfaces with prescribed Gauss curvature. (English) Zbl 1023.53005 Duke Math. J. 105, No. 2, 309-353 (2000). Reviewer: Liviu Ornea (Bucuresti) MSC: 53A05 53C21 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Sun-Yung A.; Qing, Jie; Yang, Paul C. On the Chern-Gauss-Bonnet integral for conformal metrics on \(\mathbb{R}^4\). (English) Zbl 0971.53028 Duke Math. J. 103, No. 3, 523-544 (2000). Reviewer: Marcela Popescu (Craiova) MSC: 53C20 35J35 53A55 53C65 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Kuo-Shung; Lin, Chang-Shou On the conformal Gaussian curvature equation in \(\mathbb{R}^2\). (English) Zbl 0911.35044 J. Differ. Equations 146, No. 1, 226-250 (1998). Reviewer: M.Fuchs (Saarbrücken) MSC: 35J60 53C21 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Kuo-Shung; Lin, Chang-Shou Compactness of conformal metrics with positive Gaussian curvature in \(\mathbb{R}^2\). (English) Zbl 0933.35056 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 1, 31-45 (1998). Reviewer: N.Nakauchi (Yamaguchi) MSC: 35J60 35B05 35B45 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML