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$W^{2,2}$ Estimates for Solutions to Non-Uniformly Elliptic PDE'S with Measurable Coefficients  
 
  Authors: András Domokos,  
  Keywords: Cordes conditions, Elliptic partial differential equations  
  Date Received: 14/02/05  
  Date Accepted: 27/05/05  
  Subject Codes:

35J15, 35R05

  
  Editors: Alberto Fiorenza,  
 
  Abstract:

We propose to extend Talenti's estimates on the $ L^2$ norm of the second order derivatives of the solutions of a uniformly elliptic PDE with measurable coefficients satisfying the Cordes condition to the non-uniformly elliptic case.;


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