Author： Filippakis Michael Gasiński Leszek Papageorgiou Nikolaos
Publisher： Springer Publishing Company
ISSN： 0925-5001
Source： Journal of Global Optimization, Vol.31, Iss.1, 2005-01, pp. : 173-189
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Abstract
We study nonlinear elliptic problems driven by the p-Laplacian and with a nonsmooth locally Lipschitz potential (hemivariational inequality). We do not assume that the nonsmooth potential satisfies the Ambrosetti--Rabinowitz condition. Using a variational approach based on the nonsmooth critical point theory, we establish the existence of at least one smooth positive solution.
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