Positive Solutions for Convective Double Phase Problems

被引：0

作者：

Papageorgiou, Nikolao S. ^{[1
,2
]}

Peng, Zijia ^{[3
]}

机构：

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

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

[3] Guangxi Minzu Univ, Guangxi Key Lab Univ Optimizat Control & Engn Calc, Coll Math & Phys, Nanning 530006, Guangxi, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Unbalanced growth; generalized Orlicz spaces; pseudomonotone map; strongly coercive map; truncation; REGULARITY; EXISTENCE; CALCULUS;

D O I：

10.1007/s00025-024-02262-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear Dirichlet problem driven by the double phase differential operator and a reaction that has the competing effects of a parametric concave term and of a convective perturbation. Using truncation and comparison techniques and the theory of nonlinear operators of monotone type, we show that for all small values of the parameter, the problem has a bounded positive solution.

引用

页数：14

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