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

页码：1271 / 1286

页数：16

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