The Existence of Semiclassical States for Some P-Laplacian Equation with Critical Exponent

被引：0
|
作者：
Ji-xiu WANG [1 ]
机构：
[1] School of Mathematics and Computer Science, Hubei University of Arts and Science
来源：
Acta Mathematicae Applicatae Sinica | 2017年 / 33卷 / 02期
基金：
中国国家自然科学基金;
关键词：
semiclassical states; positive solutions; critical exponent;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of semiclassical states for some p-Laplacian equation. Under given conditions and minimax methods, we show that this problem has at least one positive solution provided that ε≤E; for any m∈N, it has m pairs solutions if ε≤E, where E, Em are sufficiently small positive numbers. Moreover, these solutions are closed to zero in W~1,~p(R~N) as ε→0.
引用
收藏
页码：417 / 434
页数：18
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