EXISTENCE OF AT LEAST FOUR SOLUTIONS FOR SCHRODINGER EQUATIONS WITH MAGNETIC POTENTIAL INVOLVING AND SIGN-CHANGING WEIGHT FUNCTION

被引：1

作者：

De Paiva, Francisco Odair ^{[1
]}

Lima, Sandra Machado De Souza ^{[2
]}

Miyagaki, Olimpio Hiroshi ^{[1
]}

机构：

[1] Univ Fed Sao Carlos UFSCar, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] INFES UFF, Dept Ciencias Exatas Biol & Terra, Santo Antoniode Padua, RJ, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 47期

基金：

巴西圣保罗研究基金会;

关键词：

Magnetic potential; Nehari method; sign-changing function; variational method; SEMILINEAR ELLIPTIC EQUATION; CONVEX NONLINEARITIES; POSITIVE SOLUTIONS; NEHARI MANIFOLD; CONCAVE; FIELDS;

D O I：

10.58997/ejde.2023.47

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. We consider the elliptic problem -& UDelta;Au + u = a & lambda;(x)|u|q-2u + b & mu;(x)|u|p-2u, for x & ISIN; RN, 1 < q < 2 < p < 2* = 2N/(N - 2), a & lambda;(x) is a sign-changing weight function, b & mu;(x) satisfies some additional conditions, u & ISIN; H1A(RN) and A : RN & RARR; RN is a magnetic potential. Exploring the Bahri-Li argument and some preliminary results we will discuss the existence of a four nontrivial solutions to the problem in question.

引用

页码：1 / 16

页数：16

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