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].
Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth / Eleuteri, Michela; Passarelli Di Napoli, Antonia. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 62:3(2025), pp. 535-562. [10.1007/s11118-024-10146-4]
Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth
Eleuteri, Michela;Passarelli di Napoli, Antonia
2025
Abstract
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].
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