Partial differential equations of elliptic type in nonsmooth domains

被引：0

作者：

Rodrigues, HC ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, ICEx, BR-30123970 Belo Horizonte, MG, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2005年 / 7卷 / 06期

关键词：

partial differential equation; elliptic critical exponent;

D O I：

10.1142/S0219199705001957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the problem -Delta u + lambda u = u(p) in nonsmooth domains with mixed boundary conditions. Special attention will be given here to the critical case and to domains which have no further regularity than a Lipschitzian boundary. For such domains, we obtain a generalized version of Cherrier's inequality and prove an existence result. This was achieved by using an extended definition of the manifold.

引用

页码：787 / 808

页数：22

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