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    STUDIA MATHEMATICA - Issue no. 4 / 2010  
         
  Article:   A NOTE ON THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR THE ONE DIMENSIONAL PRESCRIBED CURVATURE EQUATION.

Authors:  .
 
       
         
  Abstract:  In the present paper we deal with the one dimensional prescribed curvature equation. We prove, under a suitable oscillatory behaviour at zero of the nonlinearity, the existence of infinitely many solutions.Our approach combines variational techniques with classical regularity results.

Key words and phrases. One dimensional prescribed curvature problem, infinitely many solutions,oscillatory nonlinearity.

 
         
     
         
         
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