期刊论文

中文

数学物理学报

1003-3998

2012

32

5

833-839

10.3969/j.issn.1003-3998.2012.05.002

国家自然科学基金； 数学物理湖北省重点实验室(华中师范大学)资助；

本校为第一机构

研究如下一类半线性椭圆型方程{-△u=(1+△εg(x))(u-1)_+~p,xε?~N,uεD~(1,2)(?~N),u(x)→0,|x|→∞,这里ε是正常数,g(x)εL~∞(?~N),1

In this paper, we consider the following problem {-△u=（1＋εg（x））（u-1）p＋,x∈RN,u∈D1,2（RN）,u（x）→0｜x｜→∞, where ε is a positive constant, g（x）∈L∞（RN, 1〈p〈N＋2/N-2 Used perturbation method, we prove that under some conditions on g（x）, there exists a ε0, if 0 〈 ε 〈 ε0, such that there are many solutions for above ...