EXISTENCE OF MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS IN RN

被引：0
|
作者：
Yin, Honghui [1 ,2 ]
Yang, Zuodong [1 ,3 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China
[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Teacher Educ, Nanjing 210097, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
Nehari manifold; quasilinear; positive solution; (PS)-sequence; CONCENTRATION-COMPACTNESS PRINCIPLE; SCALAR FIELD-EQUATIONS; POSITIVE SOLUTIONS; UNIQUENESS; CALCULUS;
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 establish the multiplicity of positive weak solution for the quasilinear elliptic equation -Delta p(u) +lambda vertical bar u vertical bar(p-2)u= f(x)vertical bar u vertical bar(s-2)u+ h(x)vertical bar u vertical bar(r-2)u x is an element of R-N, u > 0 x is an element of R-N, u is an element of W-1,W-P(R-N) We show how the shape of the graph of f affects the number of positive solutions. Our results extend the corresponding results in [21].
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页数：22
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