Quasilinear equations involving indefinite nonlinearities and exponential critical growth in RN

被引：0

作者：

de Freitas, Luciana R. ^{[1
]}

Santos, Jefferson Abrantes ^{[2
]}

Severo, Uberlandio B. ^{[3
]}

机构：

[1] Univ Estadual Paraiba, Dept Matemat, BR-58429500 Campina Grande, Paraiba, Brazil

[2] Univ Fed Campina Grande, UAMAT, BR-58109970 Campina Grande, Paraiba, Brazil

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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 01期

关键词：

Quasilinear equations; Exponential growth; Trudinger-Moser inequality; Indefinite nonlinearities; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; TRUDINGER INEQUALITY; EXISTENCE; DOMAINS;

D O I：

10.1007/s10231-020-00997-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish the existence of nonzero solutions for a class of quasilinear elliptic equations involving indefinite nonlinearities with exponential critical growth of Trudinger-Moser type. Our proofs rely on variational arguments in a Orlicz-Sobolev space with a version of the Trudinger-Moser inequality.

引用

页码：315 / 335

页数：21

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