Bifurcation problems for the p-Laplacian in R(N)

被引：55

作者：

Drabek, P ^{[1
]}

Huang, YX ^{[1
]}

机构：

[1] MEMPHIS STATE UNIV,DEPT MATH SCI,MEMPHIS,TN 38152

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 01期

关键词：

p-Laplacian; global positive solutions; weighted spaces;

D O I：

10.1090/S0002-9947-97-01788-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the bifurcation problem -div (\del U\(p-2)del u)=lambda g(x)\u\(p-2)u+f(lambda,x,u), in R(N) with p > 1. We show that a continuum of positive solutions bifurcates out from the principal eigenvalue lambda(1) of the problem -div (\del u\(p-2)del u)=lambda g(x)\u\(p-2)u. Here both functions f and g may change sign.

引用

页码：171 / 188

页数：18

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