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    STUDIA MATHEMATICA - Issue no. 4 / 2014  
         
  Article:   A NOTE ON ELLIPTIC PROBLEMS ON THE SIERPINSKI GASKET.

Authors:  CSABA VARGA.
 
       
         
  Abstract:   Using a method that goes back to J. Saint Raymond, we prove the existence of infi nitely many weak solutions of certain nonlinear elliptic problems defi ned on the SG.

Mathematics Subject Classi fication (2010): 35J20, 28A80, 35J25, 35J60, 47J30,49J52.
Keywords: Sierpinski gasket, weak Laplace operator, nonlinear elliptic equationon the Sierpinski gasket.
 
         
     
         
         
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