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    STUDIA MATHEMATICA - Issue no. 3 / 2014  
         
  Article:   MULTIPLE SYMMETRIC SOLUTIONS FOR SOME HEMIVARIATIONAL INEQUALITIES.

Authors:  ILDIKÓ ILONA MEZEI.
 
       
         
  Abstract:   In the present paper we prove some multiplicity results for hemivariational inequalities defined on the unit ball or on the whole space. By variationalmethods, we demonstrate that the solutions of these inequalities are invariant by spherical cap symmetrization, the main tools being the symmetric version of Ekeland’s variational principle proved by M. Squassina [11] and a nonsmooth version of the symmetric minimax principle due to J. Van Schaftingen [13].

Mathematics Subject Classification (2010): 47J20, 54C60, 47H10.

Keywords: hemivariational inequality, locally Lipschitz functional, symmetrization, spherical cap symmetrization, Ekeland’s variational principle, minimax principle, Palais-Smale condition.
 
         
     
         
         
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