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

Franchi, Bruno ; Serra Cassano, Francesco

Studia Mathematica, Tome 119 (1996), p. 1-22 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 1996-01-01

Zbl 0865.46017

EUDML-ID : urn:eudml:doc:216317

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