On the critical Neumann problem with weight in exterior domains

被引：9

作者：

Chabrowski, J

Ruf, B

机构：

[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

[2] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 01期

关键词：

Neumann problem; exterior domains; critical Sobolev exponent; least energy solutions; optimal Sobolev inequalities;

D O I：

10.1016/S0362-546X(03)00059-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent in exterior domains. It is assumed that the coefficient Q is a positive and smooth function on Omega(c) and lambda > 0 is a parameter. We examine the common effect of the mean curvature of the boundary partial derivativeOmega and the shape of the graph of the coefficient Q on the existence of least energy solutions. Crown Copyright (C) 2003 Published by Elsevier Science Ltd. All rights reserved.

引用

页码：143 / 163

页数：21

共 28 条

[1]

ADIMURTHI F, 1995, DIFFERENTIAL INTEGRA, V8, P31

[2]

ADIMURTHI G, 1995, COMMUN PART DIFF EQ, V20, P591

[3]

ADIMURTHI G, 1991, SC NORM SUPER PISA Q, P00009

[4]

ADIMURTHI SL, 1990, P INDIAN ACAD SCI, V100, P275