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Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals  
 
  Authors: Francesco Leonetti, Pier Vincenzo Petricca,  
  Keywords: Anisotropic, Integral, Functional, Regularity, Minimizer.  
  Date Received: 31/03/06  
  Date Accepted: 06/04/06  
  Subject Codes:

49N60, 35J60.

  
  Editors: Alberto Fiorenza,  
 
  Abstract:

We deal with anisotropic integral functionals $ int_{Omega} f (x, Du(x)) dx $ defined on vector valued mappings $ u: Omega subset mathbb{R}^n rightarrow mathbb{R}^N$. We show that a suitable "monotonicity" inequality, on the density $ f$, guarantees global pointwise bounds for minimizers $ u$.;


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