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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS 被引量:5

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF p(x)-BIHARMONIC EQUATIONS
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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. 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.
作者 李麟 唐春雷
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期155-170,共16页 数学物理学报(B辑英文版)
基金 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)
关键词 p(x)-biharmonic variable exponent Cerami condition critical points variational method p(x)-biharmonic variable exponent Cerami condition, critical points variational method
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