FOUR POSITIVE SOLUTIONS OF A QUASILINEAR ELLIPTIC EQUATION IN RN

被引：3

作者：

Liao, Fang-Fang ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Xinyu 1 Middle Sch Jiangxi, Xinyu 338000, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 06期

基金：

中国国家自然科学基金;

关键词：

p-Laplacian; Palais-Smale decomposition lemma; Nehari manifold; positive solutions; CONVEX NONLINEARITIES; GROUND-STATES; CONCAVE;

D O I：

10.3934/cpaa.2013.12.2577

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of multiple positive solutions of a quasilinear elliptic equation {-Delta p(u) + u(p-1) = a(x)u(q-1) + lambda h(x)u(r-1) in R-N; u >= 0 a.e. x is an element of R-N; (1) u is an element of W-1,W-p(R-N), where 1 < p <= 2, N > p and 1 < r < p < q < p* (= pN/N-p). A Nehari manifold is defined by a C-1-functional I and is decomposed into two parts. Our work is to find four positive solutions of Eq. ( I) when parameter lambda is sufficiently small.

引用

页码：2577 / 2600

页数：24

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