Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou, "Existence theorems for elliptic hemivariational inequalities involving the -Laplacian", Abstract and Applied Analysis, vol. 7, Article ID 621726, 19 pages, 2002. https://doi.org/10.1155/S1085337502000908
Existence theorems for elliptic hemivariational inequalities involving the -Laplacian
We study quasilinear hemivariational inequalities involving the -Laplacian. We prove two existence theorems. In the first, we allow “crossing” of the principal eigenvalue by the generalized potential, while in the second, we incorporate problems at resonance. Our approach is based on the nonsmooth critical point theory for locally Lipschitz energy functionals.
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