Divergent sequence of nontrivial solutions for superlinear double phase problems

被引：2
|
作者：
Papageorgiou, Nikolaos S. [1 ]
Vetro, Calogero [2 ]
Vetro, Francesca
机构：
[1] Natl Tech Univ Athens, Dept Math, Zografou campus, Athens 15780, Greece
[2] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy
来源：
ASYMPTOTIC ANALYSIS | 2023年 / 134卷 / 1-2期
关键词：
Double phase operator; generalized Orlicz spaces; Z(2)-mountain pass theorem; C-condition; AR-condition; REGULARITY; EXISTENCE; CALCULUS;
D O I：
10.3233/ASY-231830
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a double phase (unbalanced growth) Dirichlet problem with a Caratheodory reaction f (z, x) which is superlinear in x but without satisfying the AR-condition. Using the symmetric mountain pass theorem, we produce a whole sequence of distinct bounded solutions which diverge to infinity.
引用
收藏
页码：183 / 192
页数：10
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