EXISTENCE OF POSITIVE AND SIGN-CHANGING SOLUTIONS FOR p-LAPLACE EQUATIONS WITH POTENTIALS IN RN

被引：0
|
作者：
Wu, Mingzhu [1 ]
Yang, Zuodong [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年
关键词：
Potential; critical point theory; p-Laplace; sign changing solution; multiplicity of solutions; concentration-compactness;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the perturbed equation -epsilon(p) div(|del u|(p-2)del u) + V(x)|u|(p-2)u = h(x, u) + K(x)|u|(p*-2)u, x is an element of R-N u(x) -> 0 as |x| -> infinity. where 2 <= p < N, p* = p(N)/N-p, p < q < p*. Under proper conditions on V(x) and h(x, u), we obtain the existence and multiplicity of solutions. We also study the existence of solutions which change sign.
引用
收藏
页数：16
相关论文
共 50 条
12345