Overview of differential equations with non-standard growth

被引：338

作者：

Harjulehto, Petteri ^{[2
]}

Hasto, Peter ^{[1
]}

Le, Ut V. ^{[1
]}

Nuortio, Matti ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, POB 3000, FI-90014 Oulu, Finland

[2] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期

基金：

芬兰科学院;

关键词：

Variable exponent; Non-standard growth; Eigenvalue problem; Existence; Uniqueness; Regularity; Harmonic functions; Elliptic equations; Parabolic equations; NONLINEAR ELLIPTIC-EQUATIONS; EXPONENT SOBOLEV SPACES; BOUNDARY-VALUE-PROBLEMS; BLOW-UP SOLUTIONS; VARIABLE EXPONENT; P(X)-LAPLACIAN EQUATIONS; POSITIVE SOLUTIONS; DIRICHLET PROBLEM; WEAK SOLUTIONS; EIGENVALUE PROBLEM;

D O I：

10.1016/j.na.2010.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Differential equations with non-standard growth have been a very active field of investigation in recent years. In this survey we present an overview of the field, as well as several of the most important results. We consider both existence and regularity questions. Finally, we provide a comprehensive list of papers published to date. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4551 / 4574

页数：24

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