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A bounded resonance problem for semilinear elliptic equations
On domains and their indexes with applications to semilinear elliptic equations
1.  Department of Applied Mathematics, Hsuan Chuang University, Hsinchu 
[1] 
Antonio Azzollini. On a functional satisfying a weak PalaisSmale condition. Discrete and Continuous Dynamical Systems, 2014, 34 (5) : 18291840. doi: 10.3934/dcds.2014.34.1829 
[2] 
Scott Nollet, Frederico Xavier. Global inversion via the PalaisSmale condition. Discrete and Continuous Dynamical Systems, 2002, 8 (1) : 1728. doi: 10.3934/dcds.2002.8.17 
[3] 
Sitong Chen, Xianhua Tang. Existence of ground state solutions for the planar axially symmetric SchrödingerPoisson system. Discrete and Continuous Dynamical Systems  B, 2019, 24 (9) : 46854702. doi: 10.3934/dcdsb.2018329 
[4] 
A. Azzollini. Erratum to: "On a functional satisfying a weak PalaisSmale condition". Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 49874987. doi: 10.3934/dcds.2014.34.4987 
[5] 
Chao Ji. Ground state solutions of fractional Schrödinger equations with potentials and weak monotonicity condition on the nonlinear term. Discrete and Continuous Dynamical Systems  B, 2019, 24 (11) : 60716089. doi: 10.3934/dcdsb.2019131 
[6] 
Haiyang He. Asymptotic behavior of the ground state Solutions for Hénon equation with Robin boundary condition. Communications on Pure and Applied Analysis, 2013, 12 (6) : 23932408. doi: 10.3934/cpaa.2013.12.2393 
[7] 
Yanjun Liu, Chungen Liu. Ground state solution and multiple solutions to elliptic equations with exponential growth and singular term. Communications on Pure and Applied Analysis, 2020, 19 (5) : 28192838. doi: 10.3934/cpaa.2020123 
[8] 
Claudianor O. Alves, Geilson F. Germano. Existence of ground state solution and concentration of maxima for a class of indefinite variational problems. Communications on Pure and Applied Analysis, 2020, 19 (5) : 28872906. doi: 10.3934/cpaa.2020126 
[9] 
Yu Su. Ground state solution of critical Schrödinger equation with singular potential. Communications on Pure and Applied Analysis, 2021, 20 (10) : 33473371. doi: 10.3934/cpaa.2021108 
[10] 
Marco A. S. Souto, Sérgio H. M. Soares. Ground state solutions for quasilinear stationary Schrödinger equations with critical growth. Communications on Pure and Applied Analysis, 2013, 12 (1) : 99116. doi: 10.3934/cpaa.2013.12.99 
[11] 
Zhanping Liang, Yuanmin Song, Fuyi Li. Positive ground state solutions of a quadratically coupled schrödinger system. Communications on Pure and Applied Analysis, 2017, 16 (3) : 9991012. doi: 10.3934/cpaa.2017048 
[12] 
Norihisa Ikoma. Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 943966. doi: 10.3934/dcds.2015.35.943 
[13] 
C. Cortázar, Marta GarcíaHuidobro. On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian. Communications on Pure and Applied Analysis, 2006, 5 (4) : 813826. doi: 10.3934/cpaa.2006.5.813 
[14] 
Jian Zhang, Wen Zhang, Xianhua Tang. Ground state solutions for Hamiltonian elliptic system with inverse square potential. Discrete and Continuous Dynamical Systems, 2017, 37 (8) : 45654583. doi: 10.3934/dcds.2017195 
[15] 
C. Cortázar, Marta GarcíaHuidobro. On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian. Communications on Pure and Applied Analysis, 2006, 5 (1) : 7184. doi: 10.3934/cpaa.2006.5.71 
[16] 
Yinbin Deng, Wentao Huang. Positive ground state solutions for a quasilinear elliptic equation with critical exponent. Discrete and Continuous Dynamical Systems, 2017, 37 (8) : 42134230. doi: 10.3934/dcds.2017179 
[17] 
Kaimin Teng, Xiumei He. Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent. Communications on Pure and Applied Analysis, 2016, 15 (3) : 9911008. doi: 10.3934/cpaa.2016.15.991 
[18] 
Yongpeng Chen, Yuxia Guo, Zhongwei Tang. Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents. Communications on Pure and Applied Analysis, 2019, 18 (5) : 26932715. doi: 10.3934/cpaa.2019120 
[19] 
XiaoJing Zhong, ChunLei Tang. The existence and nonexistence results of ground state nodal solutions for a Kirchhoff type problem. Communications on Pure and Applied Analysis, 2017, 16 (2) : 611628. doi: 10.3934/cpaa.2017030 
[20] 
Jian Zhang, Wen Zhang. Existence and decay property of ground state solutions for Hamiltonian elliptic system. Communications on Pure and Applied Analysis, 2019, 18 (5) : 24332455. doi: 10.3934/cpaa.2019110 
2021 Impact Factor: 1.588
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