A+ CATEGORY SCIENTIFIC UNIT

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

Volume 120 / 1996

Bruno Franchi, Studia Mathematica 120 (1996), 1-22 DOI: 10.4064/sm-120-1-1-22

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.

Authors

  • Bruno Franchi

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