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.
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页码：1036 / 1063
页数：28
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