Nonautonomous ( p, q )-equations with convection

被引：0

作者：

Jing, Zhao ^{[1
,2
]}

Liu, Zhenhai ^{[1
]}

Papageorgiou, Nikolaos S. ^{[3
,4
]}

Yao, Jen-Chih ^{[5
,6
]}

机构：

[1] Guangxi Minzu Univ, Key Lab Optimizat Control & Engn Calculat, Guangxi Coll & Univ, Ctr Appl Math Guangxi, Nanning 530006, Guangxi, Peoples R China

[2] Guangxi Univ Finance & Econ, Sch Math & Quantitat Econ, Nanning 530003, Guangxi, Peoples R China

[3] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[4] Univ Craiova, Dept Math, Craiova 200585, Romania

[5] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[6] Acad Romanian Scientists, Bucharest 50044, Romania

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 197卷

关键词：

Nonautonomous differential operator; Frozen variable; Minimal solution map; Leray-Schauder alternative principle; Pseudomonotone map; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; NEUMANN PROBLEMS; EXISTENCE; SIGN; DEPENDENCE; UNIQUENESS;

D O I：

10.1016/j.bulsci.2024.103521

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a Dirichlet problem driven by a nonautonomous (p, q)-differential operator and a reaction which is gradient dependent and in general sign-changing. Using a topological approach eventually based on the Leray-Schauder alternative principle, we prove the existence of a positive smooth solution. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：22

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