Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification :
49J40, 35J35, 58E05, 35B30, 35J60
Keywords: $p(x)$-biharmonic, mountain pass theorem, critical points, variational method, variable exponent Sobolev space
Keywords: $p(x)$-biharmonic, mountain pass theorem, critical points, variational method, variable exponent Sobolev space
@article{EJDE_2015__2015__a86,
author = {Alimohammady, Mohsen and Fattahi, Fariba},
title = {Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator},
journal = {Electronic journal of differential equations},
year = {2015},
volume = {2015},
zbl = {1312.49006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a86/}
}
TY - JOUR AU - Alimohammady, Mohsen AU - Fattahi, Fariba TI - Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator JO - Electronic journal of differential equations PY - 2015 VL - 2015 UR - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a86/ LA - en ID - EJDE_2015__2015__a86 ER -
%0 Journal Article %A Alimohammady, Mohsen %A Fattahi, Fariba %T Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator %J Electronic journal of differential equations %D 2015 %V 2015 %U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a86/ %G en %F EJDE_2015__2015__a86
Alimohammady, Mohsen; Fattahi, Fariba. Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a86/