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    STUDIA MATHEMATICA - Issue no. 1 / 2011  
         
  Article:   VANISHING VISCOSITY METHOD FOR QUASILINEAR VARIATIONAL INEQUALITIES.

Authors:  .
 
       
         
  Abstract:  

In this paper we first define the notion of viscosity solution for the following partial differential quasilinear variational inequalities involving a subdifferential operator:
 

 is the subdifferential operator of the proper convex lower semicontinuous function 

We prove the existence of a viscosity solution 
an open set in 

Mathematics Subject Classification (2010): 49L25, 49J40, 35R35.


Keywords: Viscosity solution, variational inequalities.

 
         
     
         
         
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