Nehari manifold for a Schrodinger equation with magnetic potential involving sign-changing weight function

被引：2

作者：

de Paiva, Francisco Odair ^{[1
]}

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

Miyagaki, Olimpio Hiroshi ^{[1
]}

机构：

[1] Univ Fed Sao Carlos UFSCar, Dept Matemat, Sao Carlos, Brazil

[2] UFF, INFES, Dept Ciencias Exatas Biol & Terra, Santo Antonio de Padua, Brazil

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Sign-changing weight function; magnetic potential; Nehari manifold; fibering map; SEMILINEAR ELLIPTIC EQUATION; 4 POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; NLS EQUATIONS; CONCAVE; FIELDS; EXISTENCE;

D O I：

10.1080/00036811.2023.2230257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following class of elliptic problems -Delta(A)u + u = a lambda(chi)|u|(q-2)u + b(mu)(chi)|u(|p-2)u, x is an element of RN, where 1 < q < 2 < p < 2* = 2N/N-2 N >= 3, a(lambda)(x) is a sign-changing weight function, b(mu)(x) is continuous, lambda > 0 and mu > 0 are real parameters, u is an element of H-A(1) (R-N) and A : R-N -> R-N is a magnetic potential. Exploring the relationship between the Nehari manifold and fibering maps, we will discuss the existence, multiplicity and regularity of solutions.

引用

页码：1036 / 1063

页数：28