Sobolev and Lipschitz regularity for bounded minimizers of some anisotropic orthotropic functionals

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dalle 11:30 alle 12:30


Chiara Leone (Universita’ di Napoli Federico II)

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In this talk, I will describe some regularity results concerning bounded local minimizers to some degenerate functionals satisfying anisotropic growth conditions.
In particular, I will discuss the higher differentiability of such minimizers under some restrictions on the exponents of anisotropy.
In the two dimensional case I will also show that minimizers are Lipschitz continuous without any limitation on the exponents of anisotropy.

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