Existence of solutions for a class of quasilinear elliptic equations in R N with vanishing potentials

被引：3

作者：

Li, Qin ^{[1
]}

Yang, Zuodong ^{[1
,2
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210046, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 09期

基金：

中国国家自然科学基金;

关键词：

quasilinear elliptic equation; positive solution; existence; vanishing potentials; NONLINEAR SCHRODINGER-EQUATIONS; PERTURBATIONS; STATES;

D O I：

10.1080/00036811.2012.702210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods, we establish the existence of positive solutions for a class of quasilinear elliptic problem where Delta(p)u=div(|delta u|(p-2)delta u) with 1<p<N, f: RR is continuous having a subcritical growth and V is a nonnegative potential, which can vanish at infinity, that is, V()0 as |x|, or shortly, V(infinity)=0.

引用

页码：1803 / 1815

页数：13

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