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

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2024年5月28日

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Michela Eleuteri,
Antonia Passarelli di Napoli

摘要

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].