Boundedness of solutions for an elliptic equation with non-standard growth

被引：6

作者：

Cianci, Paolo ^{[1
]}

Nicolosi, Francesco ^{[1
]}

机构：

[1] Univ Catania, Dept Math & Informat, I-95124 Catania, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Boundedness of solutions; Sobolev space; Variable exponents; Non-standard growth; VARIABLE EXPONENT; LEBESGUE SPACES; SOBOLEV SPACES; REGULARITY;

D O I：

10.1016/j.na.2009.01.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under non-standard growth conditions, following Moser's iteration technique, we shall prove boundedness of solutions for an equation of fourth order of the following kind (vertical bar alpha vertical bar=1.2)Sigma (-1)(vertical bar alpha vertical bar)D(alpha)A(alpha) (x, del(2)u) = f in ohm. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1825 / 1832

页数：8

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