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R^N上带Hardy项的拟线性椭圆方程两个解的存在性

Two Solutions for Quasilinear Elliptic Equation with Hardy Potential on R^N
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摘要 该文主要运用变分方法研究如下拟线性椭圆方程在一定条件下两个非平凡解的存在性.其中一个解是通过局部极小得到的,另一个是运用山路引理得到的. In the paper,we used variational method to consider the following quasilinear elliptic equation■we show that there exists two nontrivial solutions for our problem,one solution is a local minimum and the other is of mountain pass type.
作者 唐文娟 张正杰 Tang Wenjuan;Zhang Zhengjie(School of Mathematics and Statistics,Central China Normal University,Wuhan 430079)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2018年第6期1153-1161,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(11371159)~~
关键词 拟线性 集中紧致 山路引理 Quasilinear Concentration-compactness Mountian pass.
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