Bifurcation Problems for a Class of Degenerate Quasilinear Elliptic Equations

被引：0

作者：

Li, Yun-xiang ^{[1
,3
]}

Ye, Yu ^{[2
]}

Xia, Fang-li ^{[3
]}

机构：

[1] Hunan City Univ, Dept Math, Yiyang 413049, Peoples R China

[2] Changsha Univ Sci & Technol, Dept Math, Changsha 410076, Hunan, Peoples R China

[3] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2010年 / 26卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equation; bifurcation; principal eigenvalue; EIGENVALUE PROBLEMS; INEQUALITIES;

D O I：

10.1007/s10255-010-0006-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the bifurcation problem -divA(x, del u) = lambda a(x)vertical bar u vertical bar(p-2)u+ f(x,u,lambda) in Omega with p > 1. Under some proper assumptions on A(x,xi),a(x) and f(x,u,lambda), we show that the existence of an unbounded branch of positive solutions bifurcating from the principal eigenvalue of the problem -divA(x, del u) =lambda a(x)vertical bar u vertical bar(p-2)u.

引用

页码：395 / 404

页数：10

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