Existence of infinitely many solutions for semilinear degenerate Schrodinger equations

被引：27
作者：
Duong Trong Luyen [1 ]
Nguyen Mirth Tri [2 ]
机构：
[1] Hoa Lu Univ, Dept Math, Ninh Binh City, Vietnam
[2] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi 10307, Vietnam
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 02期
关键词：
Semilinear degenerate elliptic equations; Delta(gamma)-Laplace operator; Multiple solutions; Cerami sequences; BOUNDARY-VALUE-PROBLEMS; MULTIPLICITY;
D O I：
10.1016/j.jmaa.2018.01.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of infinitely many nontrivial solutions of to the semilinear A.,. differential equations in RN {-Delta(gamma)u+ b(x)u = f (x, u) m R-N, u is an element of S-gamma(2)(R-N), where Delta(gamma) is a subelliptic operator, the potential b(x) and nonlinearity f(x, u) are not assumed to be continuous. Multiplicity of nontrivial solutions for semilinear Laplace equations in R-N with continuous potential and nonlinearity was considered in many works, such as [4,15,18,24]. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1271 / 1286
页数：16
相关论文
共 50 条
[41]   Infinitely Many Solutions for Sublinear Schrodinger-Kirchhoff-Type Equations With General Potentials [J].
Duan, Lian ;
Huang, Lihong .
RESULTS IN MATHEMATICS, 2014, 66 (1-2) :181-197
[42]   Existence of Infinitely Many Solutions for Δγ-Laplace Problems [J].
Luyen, D. T. ;
Huong, D. T. ;
Hanh, L. T. H. .
MATHEMATICAL NOTES, 2018, 103 (5-6) :724-736
[43]   EXISTENCE OF INFINITELY MANY SMALL SOLUTIONS FOR SUBLINEAR FRACTIONAL KIRCHHOFF-SCHRODINGER-POISSON SYSTEMS [J].
De Albuquerque, Jose Carlos ;
Clemente, Rodrigo ;
Ferraz, Diego .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
[44]   Infinitely Many Solutions for Semilinear Δγ-Differential Equations in RN without the Ambrosetti-Rabinowitz Condition [J].
Duong Trong Luyen ;
Le Thi Hong Hanh .
MINIMAX THEORY AND ITS APPLICATIONS, 2020, 5 (01) :7-18
[45]   Infinitely many solutions for a resonant sublinear Schrodinger equation [J].
Bao, Gui ;
Han, Zhiqing .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (17) :2811-2816
[46]   Infinitely many solutions to quasilinear Schrodinger system in RN [J].
Chen, Caisheng ;
Fu, Shuyan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (07) :1417-1424
[47]   Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity [J].
Chen, Hua ;
Xu, Huiyang .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) :852-871
[48]   EXISTENCE OF INFINITELY MANY SOLUTIONS OF p-LAPLACIAN EQUATIONS IN R+N [J].
Zhao, Junfang ;
Liu, Xiangqing ;
Liu, Jiaquan .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
[49]   EXISTENCE OF INFINITELY MANY SOLUTIONS FOR FOURTH-ORDER EQUATIONS DEPENDING ON TWO PARAMETERS [J].
Hadjian, Armin ;
Ramezani, Maryam .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[50]   Infinitely many solutions for fourth-order semilinear Δγ - Laplace equation in RN [J].
Duong Trong Luyen ;
Ninh Tien Nam .
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2021, 7 (02) :977-988
12345