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

作     者：Ji-xiu WANG 

作者机构：School of Mathematics and Computer Science Hubei University of Arts and Science Xiangyang 441053 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2017年第33卷第2期

页      面：417-434页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation of China(No.11501186 11326145 11526088) 

主　　题：semiclassical states positive solutions critical exponent 

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≤ε; for any m ∈ N, it has m pairs solutions if ε≤εm, where ε,εm are sufficiently small positive numbers. Moreover, these solutions axe closed to zero in W1,p（RN） as ε→0.