THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

doi:10.1016/S0252-9602(16)30108-4

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1819-1831.doi: 10.1016/S0252-9602(16)30108-4

THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

张金国¹, 刘晓春²

1. School of Mathematics, Jiangxi Normal University, Nanchang 330022, China;
2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2016-02-09 修回日期:2016-04-28 出版日期:2016-12-25 发布日期:2016-12-25
作者简介:Jinguo ZHANG,E-mail:jgzhang@jxnu.edu.cn;Xiaochun LIU,E-mail:xcliu@whu.edu.cn
基金资助:
Supported by NSFC (11371282, 11201196) and Natural Science Foundation of Jiangxi (20142BAB211002).

THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

Jinguo ZHANG¹, Xiaochun LIU²

1. School of Mathematics, Jiangxi Normal University, Nanchang 330022, China;
2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2016-02-09 Revised:2016-04-28 Online:2016-12-25 Published:2016-12-25
Supported by:
Supported by NSFC (11371282, 11201196) and Natural Science Foundation of Jiangxi (20142BAB211002).

摘要/Abstract

摘要：

In this paper, we deal with the existence and multiplicity of solutions to the fractional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.

关键词: fractional elliptic equation, variational methods, three solutions, Moser iteration

Abstract:

Key words: fractional elliptic equation, variational methods, three solutions, Moser iteration

中图分类号:

35J60

张金国, 刘晓春. THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH[J]. 数学物理学报(英文版), 2016, 36(6): 1819-1831.

Jinguo ZHANG, Xiaochun LIU. THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1819-1831.

参考文献

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THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

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