DOUBLE PHASE PROBLEMS: A SURVEY OF SOME RECENT RESULTS

被引：39

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

机构：

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

来源：

OPUSCULA MATHEMATICA | 2022年 / 42卷 / 02期

关键词：

double phase integrand; generalized Orlicz spaces; regularity theory; maximum principle; Nehari manifold; ELLIPTIC-EQUATIONS; REGULARITY; MULTIPLICITY; FUNCTIONALS; EXISTENCE; SOBOLEV;

D O I：

10.7494/OpMath.2022.42.2.257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review some recent results on double phase problems. We focus on the relevant function space framework, which is provided by the generalized Orlicz spaces. We also describe the basic tools and methods used to deal with double phase problems, given that there is no global regularity theory for these problems.

引用

页码：257 / 278

页数：22

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