On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term

被引：0
|
作者：
Chinni, Antonia [1 ]
Sciammetta, Angela [2 ]
Tornatore, Elisabetta [2 ]
机构：
[1] Univ Messina, Dept Engn, Messina, Italy
[2] Univ Palermo, Dept Math & Comp Sci, Palermo, Italy
来源：
MINIMAX THEORY AND ITS APPLICATIONS | 2021年 / 6卷 / 01期
关键词：
(p(x); q(x))-Laplacian; Dirichlet problem; gradient dependence; sub-supersolution; positive solution; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE; GRADIENT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The method of sub and super-solution is applied to obtain existence and location of solutions to a quasilinear elliptic problem with variable exponent and Dirichlet boundary conditions involving a nonlinear term f depending on solution and on its gradient. Under a suitable growth condition on the convection term f, the existence of at least one solution satisfying a priori estimate is obtained.
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页码：155 / 172
页数：18
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