Existence of solutions to quasilinear Schrodinger equations with exponential nonlinearity

被引：0

作者：

Severo, Uberlandio B. ^{[1
]}

Ribeiro, Bruno H. C. ^{[2
]}

Germano, Diogo de S. ^{[3
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

[3] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, PB, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 14期

关键词：

Quasilinear Schrodinger equation; fixed point theorem; Trudinger-Moser inequalit; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; CRITICAL GROWTH; MULTIPLICITY;

D O I：

10.58997/ejde.2023.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the existence of solutions to quasilinear Schrodinger equations in the plane, involving a potential that can change sign and a nonlinear term that may be discontinuous and exhibit exponential critical growth. To prove our existence result, we combine the Trudinger-Moser inequality with a fixed point theorem

引用

页码：1 / 14

页数：14

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