EXISTENCE AND NONEXISTENCE OF POSITIVE EIGENFUNCTIONS FOR THE P-LAPLACIAN

被引：12

作者：

BINDING, PA ^{[1
]}

HUANG, YX ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 06期

关键词：

D O I：

10.2307/2160998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the relation between (i) the principal eigencurve, i.e., the graph of mu(1) satisfying (*) -div(\del u\(p-2)del u) + (q(x) - lambda w(x))\u\(p-2)u = mu(1)(lambda)\u\(p-2)mu on a smooth bounded domain Omega in R(N) with p > 1, and (ii) existence and nonexistence of positive solutions of (*) with mu(1)(lambda) = 0. Eigencurve arguments are used extensively.

引用

页码：1833 / 1838

页数：6

共 17 条

[1] 2ND-ORDER ELLIPTIC-EQUATIONS WITH DEGENERATE WEIGHT [J].