Some critical quasilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions: Relation with Sobolev and Hardy-Sobolev optimal constants

被引：5

作者：

Abdellaoui, B.

Colorado, E.

Peral, I. ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Math, E-28049 Madrid, Spain

[2] Univ Granada, Dept Analisis Matemat, E-18071 Granada, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

关键词：

p-Laplacian like equations; critical problems; mixed boundary conditions; optimal constants for Hardy-Sobolev inequalities;

D O I：

10.1016/j.jmaa.2006.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper we deal with the following mixed Dirichlet-Neumann elliptic problems [GRAPHICS] where Omega subset of R-N (N >= 3) is a bounded domain such that 0 is an element of Omega and with different choices of the parameters 1 < p < N, p - 1 < r <= p* - 1, -infinity < gamma < N-p/p and 0 <= lambda <= Lambda which is a critical value to the existence of solutions to problem (1). (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1165 / 1188

页数：24

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