MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS

被引：0

作者：

Li, Qin ^{[1
]}

Yang, Zuodong ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic systems; multiple positive solutions; critical point; Nehari manifold; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate how the coefficient f(z) affects the number of positive solutions of the quasilinear elliptic system -Delta(p) u = lambda g(z)vertical bar u vertical bar(q-2)u + alpha/alpha + beta f(z)vertical bar u vertical bar(alpha-2)u vertical bar v vertical bar(beta) in Omega, -Delta(p) v = mu h(z)vertical bar v vertical bar(q-2)v + beta/alpha + beta f(z)vertical bar u vertical bar(alpha)vertical bar v vertical bar(beta-2)v in Omega, u = v = 0 on partial derivative Omega, where 0 is an element of Omega subset of R-N is a bounded domain, alpha > 1, beta > 1 and 1 < p < q < alpha + beta = p* = Np/N - p for N > 2p.

引用

页数：14

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