Higher integrability for minimizers of  anisotropic functionals

Menita Carozza; Gioconda Moscariello; Antonia Passarelli

doi:10.3934/dcdsb.2009.11.43

Article Contents

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

This issue Previous Article A nonlinear interpolation result with application to the summability of minima of some integral functionals Next Article Comparison results without strict convexity

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: November 2007

Revised: April 2008

Published: July 2009

Abstract / Introduction Related Papers Cited by

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.

Citation:

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Higher integrability for minimizers of anisotropic functionals

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Higher integrability for minimizers of anisotropic functionals

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content