MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

doi:10.1016/S0252-9602(16)30020-0

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 549-559.doi: 10.1016/S0252-9602(16)30020-0

MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

吴科, 吴鲜

Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China

收稿日期:2014-11-03 修回日期:2015-10-18 出版日期:2016-04-25 发布日期:2016-04-25
通讯作者: Xian WU,E-mail:wuxian2042@163.com E-mail:wuxian2042@163.com
作者简介:Ke WU,E-mail:wuke2002@126.com
基金资助:
This work is supported in part by the National Natural Science Foundation of China (11261070).

MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

Ke WU, Xian WU

Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China

Received:2014-11-03 Revised:2015-10-18 Online:2016-04-25 Published:2016-04-25
Contact: Xian WU,E-mail:wuxian2042@163.com E-mail:wuxian2042@163.com
Supported by:
This work is supported in part by the National Natural Science Foundation of China (11261070).

摘要/Abstract

摘要：

We study a quasilinear elliptic equation with polynomial growth coefficients. The existence of infinitely many solutions is obtained by a dual method and a nonsmooth critical point theory.

关键词: Quasilinear equation, dual method, critical point, nonsmooth analysis

Abstract:

We study a quasilinear elliptic equation with polynomial growth coefficients. The existence of infinitely many solutions is obtained by a dual method and a nonsmooth critical point theory.

Key words: Quasilinear equation, dual method, critical point, nonsmooth analysis

中图分类号:

35J20

吴科, 吴鲜. MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION[J]. 数学物理学报(英文版), 2016, 36(2): 549-559.

Ke WU, Xian WU. MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION[J]. Acta mathematica scientia,Series B, 2016, 36(2): 549-559.

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MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION

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