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

页码：183 / 192

页数：10

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