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Lipschitz Regularity of Minimizers of Variational Integrals with Variable Exponents by Michela Eleuteri; Antonia Passarelli di Napoli is a Mathematics article available to read on EtoBox.

What is Lipschitz Regularity of Minimizers of Variational Integrals with Variable Exponents about?

In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the formand the energy density F : Ω × R N ×n → R satisfies the so called variable growth conditions. The main novelty here is that we assume an almost critical regularity in the Orlicz Sobolev setting for the energy density as a function of the x variable.

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Author

Michela Eleuteri; Antonia Passarelli di Napoli

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)