Geodesic
An existence result for hemivariational inequalities
Electronic journal of differential equations, Tome 2004 (2004)
We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or with Cerami compactness condition. We also use the Principle of Symmetric Criticality for locally Lipschitz functions.
Classification : 35A15, 35J60, 35H30
Keywords: variational methods, discontinuous nonlinearities, principle of symmetric criticality 
@article{EJDE_2004__2004__a183,
     author = {D\'alyai,  Zsuzs\'anna and Varga,  Csaba},
     title = {An existence result for hemivariational inequalities},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1161.49303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a183/}
}
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Dályai,  Zsuzsánna; Varga,  Csaba. An existence result for hemivariational inequalities. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a183/