| EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p（x）-BIHARMONIC EQUATIONS |
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| 引用本文： | 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(B辑英文版),2013,33(1):155-170. |
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| 作者姓名： | 李麟 唐春雷 |
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| 作者单位： | School of Mathematics and Statistics,Southwest University;Department of Science,Sichuan University of Science and Engineering |
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| 基金项目： | supported by the National Natural Science Foundation of China(11071198);Scientific Research Fund of SUSE(2011KY03);Scientific Reserch Fund of Sichuan Provincial Education Department(12ZB081) |
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| 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.
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| 关 键 词： | 双调和方程 解的存在性 多重性 喷泉定理 边界条件 山路引理 无穷多解 |
| 收稿时间： | 27 September 2011 |
| 修稿时间： | 6 June 2012 |
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS |
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| Lin LI
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Chunlei TANG.EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS[J].Acta Mathematica Scientia,2013,33(1):155-170. |
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| Authors: | Lin LI Chunlei TANG |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;Department of Science, Sichuan University of Science and Engineering, Zigong 643000, China
2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | 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. |
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| Keywords: | p（x）-biharmonic variable exponent Cerami condition critical points variational method |
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