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
收藏
页码：315 / 335
页数：21
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