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.
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页数：14
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