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

• Autorzy: Bruno Franchi , Francesco Serra Cassano
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 49N60: Regularity of solutions
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 120
• Numer: 1
• Strony: 1-22

Daty

wydano

1996

otrzymano

1993-06-09

poprawiono

1996-03-18

Twórcy

autor

Bruno Franchi

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

autor

Francesco Serra Cassano

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

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