Electron. J. Diff. Equ., Vol. 2015 (2015), No. 79, pp. 1-12.

Existence of solutions to hemivariational inequalities involving the p(x)-biharmonic operator

Mohsen Alimohammady, Fariba Fattahi

Abstract:
This article concerns the existence of solutions to boundary-value problems involving the p(x)-biharmonic operator. Our technical approach is the variational-hemivariational inequality on bounded domains by using the mountain pass theorem and the critical point theory for Motreanu-Panagiotopoulos type functionals.

Submitted March 28, 2014. Published March 31, 2015.
Math Subject Classifications: 49J40, 35J35, 58E05, 35B30, 35J60.
Key Words: p(x)-biharmonic; mountain pass theorem; critical points; variational method; variable exponent Sobolev space.

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Mohsen Alimohammady
Department of Mathematics
University of Mazandaran
Babolsar, Iran
email: amohsen@umz.ac.ir
Fariba Fattahi
Department of Mathematics
University of Mazandaran
Babolsar, Iran
email: f.fattahi@stu.umz.ac.ir

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