Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Fariba Fattahi, Mohsen Alimohammady
2017 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional.
doi:10.1515/auom-2017-0021 fatcat:vnhb3ujqarbdljdf42btey5aja