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
@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/}
}
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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/