Solutions of semiclassical states for perturbed p-Laplacian equation with critical exponent

被引：2

作者：

Wang, Jixiu ^{[1
]}

Wang, Li ^{[2
]}

Zhang, Dandan ^{[1
]}

机构：

[1] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R China

[2] East China Jiaotong Univ, Sch Basic Sci, Nanchang 330013, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

semiclassical states; positive solutions; critical exponent; LINEAR SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; BOUND-STATES; EXISTENCE; PLASMA;

D O I：

10.1186/s13661-014-0243-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study semiclassical states for perturbed p-Laplacian equations. Under some given conditions and minimax methods, we show that this problem has at least one positive solution provided that ; for any , it has m pairs of solutions if , where a"degrees, are sufficiently small positive numbers. Moreover, these solutions in as .

引用

页数：22

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