Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents

被引：0
作者：
Jia-feng Liao
Jiu Liu
Peng Zhang
Chun-Lei Tang
机构：
[1] Southwest University,School of Mathematics and Statistics
[2] Zunyi Normal College,School of Mathematics and Computational Science
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2016年 / 110卷
关键词：
Elliptic equations; Critical exponent; Positive solution; Variational method; Nehari method; 35B09; 35B33; 35J20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we consider a class of elliptic equations involving critical Sobolev exponents. By the variational method and the Nehari method, we obtain the existence and multiplicity of positive solutions. We point out that the relation between the number of the maxima of the coefficient function of the critical term and the number of the positive solutions for the problem.
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页码：483 / 501
页数：18
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