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  Volume 7, Issue 3, Article 88
 
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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