Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term

被引：23
|
作者：
de Araujo, Anderson L. A. [1 ]
Faria, Luiz F. O. [2 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, Ave Peter Henry Rolfs S-N, BR-36570900 Vicosa, MG, Brazil
[2] Univ Fed Juiz de Fora, Dept Matemat, Rua Jose Lourenco Kelmer S-N, BR-36036900 Juiz De Fora, MG, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 08期
关键词：
Dirichlet problem for the N-Laplacian; Galerkin approximation; Trudinger-Moser inequality; Exponential growth; Convection term; EXISTENCE; DEPENDENCE; INEQUALITY; GROWTH;
D O I：
10.1016/j.jde.2019.05.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the existence of positive solutions for a nonlinear elliptic Dirichlet problem in dimension Ninvolving the N-Laplacian. The nonlinearity considered depends on the gradient of the unknown function and an exponential term. In such case, variational methods cannot be applied. Our approach is based on approximation scheme, where we consider a new class of normed spaces of finite dimension. As a particular case, we extended the result achieved by De Araujo and Montenegro [2016] for any N > 2. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：4589 / 4608
页数：20
相关论文
共 50 条
12345