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    STUDIA MATHEMATICA - Issue no. 2 / 2010  
         
  Article:   VARIATIONAL-HEMIVARIATIONAL INEQUALITIES ON UNBOUNDED DOMAINS.

Authors:  CSABA VARGA.
 
       
         
  Abstract:  This paper is a survey about hemivariational and variationalhemivariational inequalities defined on unbounded domains motivated by certain non-smooth phenomena appearing in Mathematical Physics. The paper contains various results obtained by the authors in the last few years. It is divided into six sections: the first section is a short introduction; in the second section we present some critical points results for locally Lipschitz functions; the third section is dedicated to Motreanu-Panagiotopoulos functionals; in the fourth section we provide some existence results for hemivariational inequalities; in the fifth section we give a multiplicity result for a special class of hemivariational inequalities; and in the last section we give some applications to hemivariational and variational-hemivariational inequalities.

Key words and phrases. unbounded domains, hemivariational inequalities, principle of symmetric criticality.
 
         
     
         
         
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