Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth

We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a bound on the gap between the growth and the ellipticity exponent that is reminiscent of the sharp bound alread...

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Bibliographic Details
Published in:Potential analysis 2024-05
Main Authors: Eleuteri, Michela, Passarelli di Napoli, Antonia
Format: Article
Language:English
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Summary:We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a bound on the gap between the growth and the ellipticity exponent that is reminiscent of the sharp bound already found in [16].
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-024-10146-4