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    STUDIA MATHEMATICA - Issue no. 2 / 2014  
         
  Article:   SEMILINEAR OPERATOR EQUATIONS AND SYSTEMS WITH POTENTIAL-TYPE NONLINEARITIES.

Authors:  .
 
       
         
  Abstract:  The recent results of Precup [6] on the variational characterization of the fi xed points of contraction-type operators are applied in this paper to semilinear operator equations and systems with linear parts given by positively defi ned operators, and nonlinearities of potential-type. Mihlin`s variational theory is also involved. Applications are given to elliptic semilinear equations and systems.

Mathematics Subject Classifi cation (2010): 35J20, 35J50, 47J30.
Keywords: Elliptic equation, boundary value problem, fi xed point, critical point, Nash-type equlibrium.
 
         
     
         
         
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