Quasilinear Dirichlet systems with competing operators and convection

被引：8

作者：

Gambera, Laura ^{[1
]}

Marano, Salvatore A. ^{[1
]}

Motreanu, Dumitru ^{[2
,3
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Univ Perpignan, Dept Math, F-66860 Perpignan, France

[3] Yulin Normal Univ, Coll Comp Sci & Engn, Yulin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 530卷 / 02期

关键词：

Quasilinear Dirichlet systems; Competing; (p; q)-Laplacian; Convection term; Generalized solution; Approximation;

D O I：

10.1016/j.jmaa.2023.127718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a quasi-linear Dirichlet system with possible competing (p, q)-Laplacians and convections. Due to the lack of ellipticity, monotonicity, and variational structure, the standard approaches to the existence of weak solutions cannot be adopted. Nevertheless, through an approximation procedure and a corollary of Brouwer's fixed point theorem we show that the problem admits a solution in a suitable sense.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：11

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