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

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

Abstract

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.

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

CLC Number:

35J35

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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