Higher integrability for minimizers of  anisotropic functionals

Menita Carozza; Gioconda Moscariello; Antonia Passarelli

doi:10.3934/dcdsb.2009.11.43

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2009, Volume 11, Issue 1: 43-55. Doi: 10.3934/dcdsb.2009.11.43

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Higher integrability for minimizers of anisotropic functionals

1.
Università del Sannio, Piazza Arechi II - 82100 Benevento
2.
Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli, Via Cintia - 80126, Napoli
3.
Dipartimento di Matematica ed Applicazioni, via Cintia, 80126 Napoli

Received: October 31, 2007

Revised: March 31, 2008

Published: June 2009

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Abstract

In this paper we establish higher integrability results for local minimizers of variational integrals satisfying a degenerate ellipticity condition. The function which measures the degeneracy of the problem is assumed to be exponentially integrable.

Keywords:

Degenerate variational integrals; higher integrability.

Mathematics Subject Classification: 49N15; 49N60; 49N99.

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