A PLANAR SCHRODINGER-POISSON SYSTEM WITH VANISHING POTENTIALS AND EXPONENTIAL CRITICAL GROWTH

被引：0
|
作者：
Albuquerque, Francisco S. B. [1 ]
Carvalho, Jonison L. [2 ]
Furtado, Marcelo F. [3 ]
Medeiros, Everaldo S. [2 ]
机构：
[1] Univ Estadual Paraiba, Dept Matemat, BR-58700070 Campina Grande, PB, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil
[3] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 62卷 / 01期
关键词：
Non-autonomous Schrodinger-Poisson system; unbounded potential; decaying potential; exponential critical growth; Trudinger-Moser inequality; GROUND-STATE SOLUTIONS; SOLITARY WAVES; EQUATIONS; MAXWELL; EXISTENCE;
D O I：
10.12775/TMNA.2022.058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we look for ground state solutions of the elliptic system {-Delta u + V (x)u + gamma phi K(x)u = Q(x)f (u); x is an element of R-2; Delta phi = K(x)u(2); x is an element of R-2, where gamma > 0 and the continuous potentials V, K, Q satisfy some mild growth conditions and the nonlinearity f has exponential critical growth. The key point of our approach is a new version of the Trudinger-Moser inequality for weighted Sobolev space.
引用
收藏
页码：159 / 180
页数：22
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