Zhang, Shulin; Liu, Wenbin Ground state solutions for a class of generalized quasilinear Schrödinger-Maxwell system with critical growth. (English) Zbl 07816049 Math. Methods Appl. Sci. 46, No. 18, 19135-19155 (2023). MSC: 35J20 35J60 35J62 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{W. Liu}, Math. Methods Appl. Sci. 46, No. 18, 19135--19155 (2023; Zbl 07816049) Full Text: DOI
Rawat, Sushmita; Konijeti, Sreenadh Existence of positive solution for a class of quasilinear Schrödinger equations with critical Choquard nonlinearity. (English) Zbl 07800049 Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, 3290-3317 (2023). MSC: 35J62 35B09 35A01 PDFBibTeX XMLCite \textit{S. Rawat} and \textit{S. Konijeti}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, 3290--3317 (2023; Zbl 07800049) Full Text: DOI arXiv
Yang, Chen; Yu, Shu-Bin; Tang, Chun-Lei Normalized ground states and multiple solutions for nonautonomous fractional Schrödinger equations. (English) Zbl 1521.35197 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 128, 24 p. (2023). MSC: 35R11 35J10 PDFBibTeX XMLCite \textit{C. Yang} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 128, 24 p. (2023; Zbl 1521.35197) Full Text: DOI
Hua, Bobo; Li, Ruowei; Wang, Lidan A class of semilinear elliptic equations on groups of polynomial growth. (English) Zbl 1515.35106 J. Differ. Equations 363, 327-349 (2023). Reviewer: Rodica Luca (Iaşi) MSC: 35J61 35R02 35A01 PDFBibTeX XMLCite \textit{B. Hua} et al., J. Differ. Equations 363, 327--349 (2023; Zbl 1515.35106) Full Text: DOI
Che, Guofeng; Chen, Haibo Multiplicity and concentration of solutions for a fractional Schrödinger-Poisson system with sign-changing potential. (English) Zbl 1512.35609 Appl. Anal. 102, No. 1, 253-274 (2023). MSC: 35R11 35B38 35J47 35J61 PDFBibTeX XMLCite \textit{G. Che} and \textit{H. Chen}, Appl. Anal. 102, No. 1, 253--274 (2023; Zbl 1512.35609) Full Text: DOI
Yang, Tao A global compactness result with applications to a nonlinear elliptic equation arising in astrophysics. (English) Zbl 1520.35003 J. Differ. Equations 360, 201-231 (2023). MSC: 35A23 35B33 35J20 35J61 PDFBibTeX XMLCite \textit{T. Yang}, J. Differ. Equations 360, 201--231 (2023; Zbl 1520.35003) Full Text: DOI
Wang, Lu Shun; Yang, Tao; Yang, Xiao Long A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms. (English) Zbl 1505.35152 Adv. Nonlinear Anal. 12, Article ID 20220276, 31 p. (2023). MSC: 35J47 35B33 35J50 PDFBibTeX XMLCite \textit{L. S. Wang} et al., Adv. Nonlinear Anal. 12, Article ID 20220276, 31 p. (2023; Zbl 1505.35152) Full Text: DOI
Xue, Yan-Fang; Zhong, Xiao-Jing; Tang, Chun-Lei Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well. (English) Zbl 1501.35211 Adv. Nonlinear Stud. 22, 619-634 (2022). MSC: 35J62 35B33 35A01 35A15 PDFBibTeX XMLCite \textit{Y.-F. Xue} et al., Adv. Nonlinear Stud. 22, 619--634 (2022; Zbl 1501.35211) Full Text: DOI
Zhi, Yanyan; Liu, Xiaochun Nontrivial solutions for an elliptic system of Hamiltonian type. (English) Zbl 1498.35237 Appl. Anal. 101, No. 14, 5017-5041 (2022). MSC: 35J47 35A01 35A15 PDFBibTeX XMLCite \textit{Y. Zhi} and \textit{X. Liu}, Appl. Anal. 101, No. 14, 5017--5041 (2022; Zbl 1498.35237) Full Text: DOI
Yang, Xiaolong Existence of positive solution for the Choquard equation in exterior domain. (English) Zbl 1497.35223 Complex Var. Elliptic Equ. 67, No. 8, 2043-2059 (2022). MSC: 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{X. Yang}, Complex Var. Elliptic Equ. 67, No. 8, 2043--2059 (2022; Zbl 1497.35223) Full Text: DOI
An, Xiaoming; Yang, Jing Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system. (English) Zbl 1491.35170 Adv. Nonlinear Stud. 22, 159-183 (2022). MSC: 35J47 35J10 35J61 35A01 35B40 PDFBibTeX XMLCite \textit{X. An} and \textit{J. Yang}, Adv. Nonlinear Stud. 22, 159--183 (2022; Zbl 1491.35170) Full Text: DOI
Yang, Zuo; Qi, Shijie; Zou, Wenming Normalized solutions of nonlinear Schrödinger equations with potentials and non-autonomous nonlinearities. (English) Zbl 1490.35461 J. Geom. Anal. 32, No. 5, Paper No. 159, 27 p. (2022). MSC: 35Q55 35J50 35B35 58E05 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Geom. Anal. 32, No. 5, Paper No. 159, 27 p. (2022; Zbl 1490.35461) Full Text: DOI
An, Xiaoming; Wang, Chunhua Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients. (English) Zbl 07746516 Math. Nachr. 294, No. 6, 1052-1084 (2021). MSC: 35B25 35B40 35J15 35J50 35J61 PDFBibTeX XMLCite \textit{X. An} and \textit{C. Wang}, Math. Nachr. 294, No. 6, 1052--1084 (2021; Zbl 07746516) Full Text: DOI arXiv
Shang, Tingting; Liang, Ruixi Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity. (English) Zbl 1460.35160 Complex Var. Elliptic Equ. 66, No. 4, 586-613 (2021). MSC: 35J62 35A01 PDFBibTeX XMLCite \textit{T. Shang} and \textit{R. Liang}, Complex Var. Elliptic Equ. 66, No. 4, 586--613 (2021; Zbl 1460.35160) Full Text: DOI
He, Xiaoming; Zou, Wenming Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth. (English) Zbl 1448.35126 Sci. China, Math. 63, No. 8, 1571-1612 (2020). MSC: 35J10 35R11 35A15 35B33 PDFBibTeX XMLCite \textit{X. He} and \textit{W. Zou}, Sci. China, Math. 63, No. 8, 1571--1612 (2020; Zbl 1448.35126) Full Text: DOI
Ye, Yiwei Ground state solutions for Kirchhoff-type problems with critical nonlinearity. (English) Zbl 1436.35168 Taiwanese J. Math. 24, No. 1, 63-79 (2020). MSC: 35J60 35B33 PDFBibTeX XMLCite \textit{Y. Ye}, Taiwanese J. Math. 24, No. 1, 63--79 (2020; Zbl 1436.35168) Full Text: DOI Euclid
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao; Zhu, Chuanxi Some results on standing wave solutions for a class of quasilinear Schrödinger equations. (English) Zbl 1428.35495 J. Math. Phys. 60, No. 9, 091506, 55 p. (2019). MSC: 35Q55 35J10 35J62 35A01 35B40 35B09 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Math. Phys. 60, No. 9, 091506, 55 p. (2019; Zbl 1428.35495) Full Text: DOI
Deng, Yinbin; Huang, Wentao; Zhang, Shen Ground state solutions for quasilinear Schrödinger equations with critical growth and lower power subcritical perturbation. (English) Zbl 1418.35096 Adv. Nonlinear Stud. 19, No. 1, 219-237 (2019). MSC: 35J10 35J62 35B33 PDFBibTeX XMLCite \textit{Y. Deng} et al., Adv. Nonlinear Stud. 19, No. 1, 219--237 (2019; Zbl 1418.35096) Full Text: DOI
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity. (English) Zbl 1401.35047 Commun. Pure Appl. Anal. 18, No. 1, 493-517 (2019). MSC: 35J10 35J62 PDFBibTeX XMLCite \textit{J. Chen} et al., Commun. Pure Appl. Anal. 18, No. 1, 493--517 (2019; Zbl 1401.35047) Full Text: DOI
Xie, Weihong; Chen, Haibo Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems. (English) Zbl 1422.35057 Comput. Math. Appl. 76, No. 3, 579-591 (2018). MSC: 35J60 35A01 35J20 PDFBibTeX XMLCite \textit{W. Xie} and \textit{H. Chen}, Comput. Math. Appl. 76, No. 3, 579--591 (2018; Zbl 1422.35057) Full Text: DOI
Cao, Daomin; Li, Hang High energy solutions of the Choquard equation. (English) Zbl 1397.35238 Discrete Contin. Dyn. Syst. 38, No. 6, 3023-3032 (2018). MSC: 35Q40 35J20 35B09 PDFBibTeX XMLCite \textit{D. Cao} and \textit{H. Li}, Discrete Contin. Dyn. Syst. 38, No. 6, 3023--3032 (2018; Zbl 1397.35238) Full Text: DOI arXiv
Deng, Yinbin; Huang, Wentao Ground state solutions for generalized quasilinear Schrödinger equations without \((AR)\) condition. (English) Zbl 1392.35108 J. Math. Anal. Appl. 456, No. 2, 927-945 (2017). MSC: 35J20 35B09 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{W. Huang}, J. Math. Anal. Appl. 456, No. 2, 927--945 (2017; Zbl 1392.35108) Full Text: DOI
Huang, Wentao; Deng, Yinbin Positive ground state solutions for a quasilinear elliptic equation with critical exponent. (English) Zbl 1372.35113 Discrete Contin. Dyn. Syst. 37, No. 8, 4213-4230 (2017). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J62 35J20 PDFBibTeX XMLCite \textit{W. Huang} and \textit{Y. Deng}, Discrete Contin. Dyn. Syst. 37, No. 8, 4213--4230 (2017; Zbl 1372.35113) Full Text: DOI
Deng, Yinbin; Peng, Shuangjie; Yan, Shusen Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations. (English) Zbl 1330.35099 J. Differ. Equations 260, No. 2, 1228-1262 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35J20 35J62 35Q55 35B33 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Differ. Equations 260, No. 2, 1228--1262 (2016; Zbl 1330.35099) Full Text: DOI
Deng, Yinbin; Peng, Shuangjie; Yan, Shusen Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth. (English) Zbl 1302.35345 J. Differ. Equations 258, No. 1, 115-147 (2015). MSC: 35Q55 35J20 35J62 35B09 82D10 78A60 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Differ. Equations 258, No. 1, 115--147 (2015; Zbl 1302.35345) Full Text: DOI
Jiang, Yongsheng; Zhou, Huansong Multiple solutions for a Schrödinger-Poisson-Slater equation with external Coulomb potential. (English) Zbl 1304.35247 Sci. China, Math. 57, No. 6, 1163-1174 (2014). MSC: 35J20 35J60 35Q40 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{H. Zhou}, Sci. China, Math. 57, No. 6, 1163--1174 (2014; Zbl 1304.35247) Full Text: DOI
Deng, Yinbin; Jin, Lingyu; Peng, Shuangjie Solutions of Schrödinger equations with inverse square potential and critical nonlinearity. (English) Zbl 1248.35058 J. Differ. Equations 253, No. 5, 1376-1398 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J10 35J20 35J60 35B09 35B44 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Differ. Equations 253, No. 5, 1376--1398 (2012; Zbl 1248.35058) Full Text: DOI
Liu, Jiaquan; Liu, Xiangqing On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\). (English) Zbl 1216.35083 J. Math. Anal. Appl. 379, No. 2, 861-869 (2011). MSC: 35P05 35J92 35D30 35J20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Liu}, J. Math. Anal. Appl. 379, No. 2, 861--869 (2011; Zbl 1216.35083) Full Text: DOI
Liu, Xiangqing; Liu, Jiaquan On a boundary value problem in the half-space. (English) Zbl 1214.35029 J. Differ. Equations 250, No. 4, 2099-2142 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J65 35J20 35B09 31B20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Liu}, J. Differ. Equations 250, No. 4, 2099--2142 (2011; Zbl 1214.35029) Full Text: DOI
Jin, Lingyu; Deng, Yinbin A global compact result for a semilinear elliptic problem with Hardy potential and critical non-linearities on \(\mathbb R^N\). (English) Zbl 1187.35087 Sci. China, Math. 53, No. 2, 385-400 (2010). MSC: 35J61 35J10 35J20 35J91 PDFBibTeX XMLCite \textit{L. Jin} and \textit{Y. Deng}, Sci. China, Math. 53, No. 2, 385--400 (2010; Zbl 1187.35087) Full Text: DOI
Li, Gongbao; Liang, Xiaoyan The existence of nontrivial solutions to nonlinear elliptic equation of \(p\)-\(q\)-Laplacian type on \(\mathbb R^N\). (English) Zbl 1171.35375 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2316-2334 (2009). MSC: 35J60 35D05 PDFBibTeX XMLCite \textit{G. Li} and \textit{X. Liang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2316--2334 (2009; Zbl 1171.35375) Full Text: DOI
Tintarev, Kyril A semilinear elliptic problem on unbounded domains with reverse penalty. (English) Zbl 1208.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 7, 1496-1502 (2006). Reviewer: Marco Biroli (Milano) MSC: 35J20 35J61 49J35 PDFBibTeX XMLCite \textit{K. Tintarev}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 7, 1496--1502 (2006; Zbl 1208.35033) Full Text: DOI
Deng, Yinbin; Li, Yi On the existence of multiple positive solutions for a semilinear problem in exterior domains. (English) Zbl 1253.35056 J. Differ. Equations 181, No. 1, 197-229 (2002). MSC: 35J61 35B05 35J25 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{Y. Li}, J. Differ. Equations 181, No. 1, 197--229 (2002; Zbl 1253.35056) Full Text: DOI Link
Qiu, Xing; Hong, Yi; Shen, Yaotian An improvement on the concentration-compactness principle. (English) Zbl 0979.35045 Acta Math. Appl. Sin., Engl. Ser. 17, No. 1, 60-67 (2001). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35J60 PDFBibTeX XMLCite \textit{X. Qiu} et al., Acta Math. Appl. Sin., Engl. Ser. 17, No. 1, 60--67 (2001; Zbl 0979.35045) Full Text: DOI
Cao, Daomin; Li, Gongbao; Zhong, Xiao A note on the number of positive solutions of some nonlinear elliptic problems. (English) Zbl 0862.35031 Nonlinear Anal., Theory Methods Appl. 27, No. 9, 1095-1108 (1996). Reviewer: J.Lovíšek (Bratislava) MSC: 35J65 PDFBibTeX XMLCite \textit{D. Cao} et al., Nonlinear Anal., Theory Methods Appl. 27, No. 9, 1095--1108 (1996; Zbl 0862.35031) Full Text: DOI
Cao, Daomin Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on \(R^ n\). (English) Zbl 0729.35049 Nonlinear Anal., Theory Methods Appl. 15, No. 11, 1045-1052 (1990). Reviewer: U.Göhner (Stuttgart) MSC: 35J65 35B32 58E07 PDFBibTeX XMLCite \textit{D. Cao}, Nonlinear Anal., Theory Methods Appl. 15, No. 11, 1045--1052 (1990; Zbl 0729.35049) Full Text: DOI