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Existence of Multi-peak Solutions for p-Laplace Problems in R^N

Existence of Multi-peak Solutions for p-Laplace Problems in R^N
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摘要 In this paper we consider the p-Laplace problem V is a non-negative function satisfying certain conditionsand c is a small parameter. We obtain the existence of solutions concentrated near set consisting of disjoint components of zero set of V under certain assumptions on V when 〉 0 is small. In this paper we consider the p-Laplace problem V is a non-negative function satisfying certain conditionsand c is a small parameter. We obtain the existence of solutions concentrated near set consisting of disjoint components of zero set of V under certain assumptions on V when 〉 0 is small.
作者 Zhen-hui ZHANG Hao-yuan XU
机构地区 College of Science School of Mathematics and Statistics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第4期1061-1072,共12页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(No.11371117) the Natural Science Foundation of Hebei province(No.A2012402036)
关键词 p-Laplace problem existence of solutions variational method p-Laplace problem existence of solutions variational method
分类号 O175 [理学—基础数学]
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参考文献15

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Acta Mathematicae Applicatae Sinica
2015年 第4期

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