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.
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页数：22
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