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Title

Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals

Authors 1, 1

Affiliations

  1. Dipartimento Matematico dell'Università, Piazza di Porta S. Donato, 5, 40127 Bologna, Italy

Abstract

We prove a higher integrability result - similar to Gehring's lemma - for the metric space associated with a family of Lipschitz continuous vector fields by means of sub-unit curves. Applications are given to show the higher integrability of the gradient of minimizers of some noncoercive variational functionals.

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Studia Mathematica
1996/120/1
Export to PBN, Opens in new tab
Pages:
1-22
Main language of publication
English
Received
1993-06-09
Accepted
1996-03-18
Published
1996
Exact and natural sciences