Pan, Wen-Wu; Li, Tian-Zeng The Kirchhoff equation by Ricceri’s approach. (English) Zbl 07923071 Appl. Math. E-Notes 24, 200-208 (2024). MSC: 35Jxx × Cite Format Result Cite Review PDF Full Text: Link
Xiong, Chawen; Chen, Chunfang; Chen, Jianhua; Sun, Jijiang Existence and asymptotical behavior of ground state solutions for fractional Schrödinger-Kirchhoff type equations. (English) Zbl 07884574 Fixed Point Theory 25, No. 1, 399-418 (2024). MSC: 35R11 35J60 35A15 35J35 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Costa, Augusto C. R.; Miyagaki, Olimpio H.; Pereira, Fabio R. On a nonlocal elliptic system of Hardy-Kirchhoff type with critical exponents. (English) Zbl 1529.35228 Math. Methods Appl. Sci. 46, No. 1, 798-810 (2023). MSC: 35J62 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Jian, Hui; Zhong, Qiaocheng; Wang, Li Positive solutions for fractional Kirchhoff-Schrödinger-Poisson system with steep potential well. (English) Zbl 1522.35218 Rev. Math. Phys. 35, No. 7, Article ID 2350024, 24 p. (2023). MSC: 35J50 35J61 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Chawen; Chen, Chunfang; Chen, Jianhua; Sun, Jijiang A concave-convex Kirchhoff type elliptic equation involving the fractional \(p\)-Laplacian and steep well potential. (English) Zbl 1518.35653 Complex Var. Elliptic Equ. 68, No. 6, 932-962 (2023). MSC: 35R11 35A15 35J35 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Boudjeriou, Tahir An existence result for a class of Kirchhoff type systems via dynamical methods. (English) Zbl 1505.35160 Acta Appl. Math. 182, Paper No. 11, 24 p. (2022). MSC: 35J57 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yuan; Liu, Lishan Multiple solutions for \(N\)-Kirchhoff type problem in \(\mathbb{R}^N\). (English) Zbl 1480.35213 Appl. Math. Lett. 125, Article ID 107743, 7 p. (2022). MSC: 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Pengfei; Xie, Junhui A priori bounds and existence of positive solutions to a \(p\)-Kirchhoff equations. (English) Zbl 1480.35220 Int. J. Math. 32, No. 11, Article ID 2150082, 11 p. (2021). MSC: 35J62 35B09 35B45 35A01 35A16 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Liejun Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\). (English) Zbl 1479.35495 Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 3553-3570 (2021). MSC: 35J92 35A01 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li; Zhang, Binlin Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents. (English) Zbl 1475.35403 Appl. Anal. 100, No. 11, 2418-2435 (2021). MSC: 35R11 35A15 35J25 35J92 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yating; Ye, Guoju Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents. (English) Zbl 1471.35300 J. Funct. Spaces 2021, Article ID 6686213, 7 p. (2021). MSC: 35R11 35A15 35D30 35J25 35J92 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Alves, Claudianor O.; Boudjeriou, Tahir Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods. (English) Zbl 1442.35175 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111851, 16 p. (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35K20 35J60 35J66 35J25 35K59 35J15 35A01 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Alimohammady, Mohsen; Alves, Claudianor O.; Amiri, Hassan Kaffash Existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems. (English) Zbl 1427.35012 J. Math. Phys. 60, No. 10, 101503, 15 p. (2019). MSC: 35J05 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Miyagaki, Olímpio H.; Pucci, Patrizia Nonlocal Kirchhoff problems with Trudinger – Moser critical nonlinearities. (English) Zbl 1422.35054 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 27, 26 p. (2019). MSC: 35J60 35B33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qin; Yang, Zuodong Existence of multiple solutions for a \(p\)-Kirchhoff problem with the non-linear boundary condition. (English) Zbl 1406.35124 Appl. Anal. 97, No. 16, 2843-2851 (2018). MSC: 35J60 35J66 35B09 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Libo; An, Tianqing Infinitely many solutions for fractional \(p\)-Kirchhoff equations. (English) Zbl 1393.35282 Mediterr. J. Math. 15, No. 3, Paper No. 80, 13 p. (2018). MSC: 35R11 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shujun Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces. (English) Zbl 1377.35109 Bound. Value Probl. 2017, Paper No. 131, 13 p. (2017). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Figueiredo, Giovany M.; Santos, Jefferson A. Existence of least energy nodal solution with two nodal domains for a generalized Kirchhoff problem in an Orlicz-Sobolev space. (English) Zbl 1362.35124 Math. Nachr. 290, No. 4, 583-603 (2017). MSC: 35J25 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Lin; Rădulescu, Vicenţiu; Repovš, Dušan Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness. (English) Zbl 1401.35078 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 6, 325-332 (2016). MSC: 35J60 35J20 35R09 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Figueiredo, Giovany M.; Balbino Guimarães, Mateus; Da Silva Rodrigues, Rodrigo Solutions for a Kirchhoff equation with weight and nonlinearity with subcritical and critical Caffarelli-Kohn-Nirenberg growth. (English) Zbl 1368.35112 Proc. Edinb. Math. Soc., II. Ser. 59, No. 4, 925-944 (2016). Reviewer: Patrick Winkert (Berlin) MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Guilan; Zhu, Xiaoli; Li, Yuhua Existence of infinitely many solutions to a class of Kirchhoff-Schrödinger-Poisson system. (English) Zbl 1338.35159 Appl. Math. Comput. 256, 572-581 (2015). MSC: 35J47 35J50 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\). (English) Zbl 1329.35338 Calc. Var. Partial Differ. Equ. 54, No. 3, 2785-2806 (2015). Reviewer: Junichi Aramaki (Saitama) MSC: 35R11 35A15 35J60 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Xiyou; Dai, Guowei Positive solutions for \(p\)-Kirchhoff type problems on \(\mathbb{R}^N\). (English) Zbl 1327.35095 Math. Methods Appl. Sci. 38, No. 12, 2650-2662 (2015). MSC: 35J35 35B09 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shaowei; Liu, Shibo Standing waves for 4-superlinear Schrödinger-Kirchhoff equations. (English) Zbl 1321.35018 Math. Methods Appl. Sci. 38, No. 11, 2185-2193 (2015). MSC: 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zifei; Qian, Chenyin Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight. (English) Zbl 1323.35017 Z. Angew. Math. Phys. 66, No. 2, 399-415 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Guo, Xiuying Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem. (English) Zbl 1328.35287 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 299-313 (2015). MSC: 35R11 35A15 35J60 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qin; Yang, Zuodong Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\). (English) Zbl 1312.35119 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 159-168 (2015). MSC: 35J92 35B33 35B09 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Figueiredo, Giovany M.; Nascimento, Rúbia G. Existence of a nodal solution with minimal energy for a Kirchhoff equation. (English) Zbl 1309.35032 Math. Nachr. 288, No. 1, 48-60 (2015). MSC: 35J65 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lihua; Chen, Caisheng Study on existence of solutions for \(p\)-Kirchhoff elliptic equation in \(\mathbb{R}^{N}\) with vanishing potential. (English) Zbl 1307.35042 J. Dyn. Control Syst. 20, No. 4, 575-592 (2014). MSC: 35B38 35J20 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Figueiredo, Giovany M.; Morales-Rodrigo, Cristian; Santos Júnior, João R.; Suárez, Antonio Study of a nonlinear Kirchhoff equation with non-homogeneous material. (English) Zbl 1312.35108 J. Math. Anal. Appl. 416, No. 2, 597-608 (2014). MSC: 35J62 35R09 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Caisheng; Yuan, Qing Existence of solution to \(p\)-Kirchhoff type problem in \(\mathbb R^N\) via Nehari manifold. (English) Zbl 1304.35257 Commun. Pure Appl. Anal. 13, No. 6, 2289-2303 (2014). MSC: 35J35 35J75 35J92 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Quan-Guo; Sun, Hong-Rui; Nieto, Juan J. Positive solution for a superlinear Kirchhoff type problem with a parameter. (English) Zbl 1285.35012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 333-338 (2014). MSC: 35J20 35B09 × Cite Format Result Cite Review PDF Full Text: DOI