EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS

doi:10.1016/S0252-9602(12)60202-1

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 155-170.doi: 10.1016/S0252-9602(12)60202-1

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS

李麟^1,2|唐春雷^1*

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China；
2. Department of Science, Sichuan University of Science and Engineering, Zigong 643000, China

收稿日期:2011-09-27 修回日期:2012-06-06 出版日期:2013-01-20 发布日期:2013-01-20
通讯作者: 唐春雷,tangcl@swu.edu.cn E-mail:lilin420@gmail.com; tangcl@swu.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (11071198), Scientific Research Fund of SUSE (2011KY03) and Scientific Reserch Fund of Sichuan Provincial Education Department (12ZB081).

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS

LI Lin^1,2, TANG Chun-Lei^1*

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China；
2. Department of Science, Sichuan University of Science and Engineering, Zigong 643000, China

Received:2011-09-27 Revised:2012-06-06 Online:2013-01-20 Published:2013-01-20
Contact: TANG Chun-Lei,tangcl@swu.edu.cn E-mail:lilin420@gmail.com; tangcl@swu.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (11071198), Scientific Research Fund of SUSE (2011KY03) and Scientific Reserch Fund of Sichuan Provincial Education Department (12ZB081).

摘要/Abstract

摘要：

In this paper, we study a class of p(x)-biharmonic equations with Navier boundary condition. Using the mountain pass theorem, fountain theorem, local linking theorem and symmetric mountain pass theorem, we establish the existence of at least one solution and infinitely many solutions of this problem, respectively.

关键词: p(x)-biharmonic, variable exponent, Cerami condition, critical points, vari-ational method

Abstract:

Key words: p(x)-biharmonic, variable exponent, Cerami condition, critical points, vari-ational method

中图分类号:

35J35

李麟, 唐春雷. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(1): 155-170.

LI Lin, TANG Chun-Lei. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(1): 155-170.

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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS

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