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    STUDIA MATHEMATICA - Issue no. 3 / 2008  
         
  Article:   MULTIPLE SOLUTIONS FOR A DOUBLE EIGENVALUE ELLIPTIC PROBLEM IN DOUBLE WEIGHTED SOBOLEV SPACES.

Authors:  ILDIKÓ ILONA MEZEI.
 
       
         
  Abstract:  In this paper we study a semilinear double eigenvalue problem with nonlinear boundary conditions in an unbounded domain To obtain existence and multiplicity results for this problem we use the Mountain Pass Theorem applied to double weighted Sobolev spaces and a recent result proved by G. Bonanno (Nonlinear Analysis, 54(2003), 651-665) concerning critical points. This result completes some recent results obtained in this direction.  
         
     
         
         
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