Positive solutions for parametric equations with unbalanced growth and indefinite perturbation

被引：0
|
作者：
Liu, Zhenhai [1 ]
Papageorgiou, Nikolaos S. [2 ]
机构：
[1] Guangxi Minzu Univ, Guangxi Coll & Univ Key Lab Optimizat Control & En, Ctr Appl Math Guangxi, Nanning 530006, Guangxi, Peoples R China
[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece
来源：
ANALYSIS AND APPLICATIONS | 2024年 / 22卷 / 08期
关键词：
Unbalanced growth; generalized Orlicz spaces; concave nonlinearity; indefinite convex nonlinearity; Nehari manifold; LOCAL MINIMIZERS; MULTIPLICITY; REGULARITY; CALCULUS;
D O I：
10.1142/S0219530524500222
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 operator. The reaction has the combined effects of parametric concave term and of an indefinite convex one ("concave-convex" problem with indefinite weight). Using the Nehari method we prove the existence of two bounded, positive ground state solutions.
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页码：1447 / 1464
页数：18
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