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Higher Integrability for Solutions to Variational Problems with Fast Growth

Arrigo Cellina Marco Mazzola 1
1 C&O - Equipe combinatoire et optimisation
IMJ-PRG - Institut de Mathématiques de Jussieu - Paris Rive Gauche
Abstract : We prove higher integrability properties of solutions to variational problems of minimizing Z Ω [e f(k∇u(x)k) + g(x, u(x))] dx where f is a convex function satisfying some additional conditions.
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https://hal.inria.fr/hal-00724828
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, August 22, 2012 - 5:33:50 PM
Last modification on : Friday, April 10, 2020 - 5:29:57 PM

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  • HAL Id : hal-00724828, version 1

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Arrigo Cellina, Marco Mazzola. Higher Integrability for Solutions to Variational Problems with Fast Growth. Journal of Convex Analysis, Heldermann, 2011, 1, pp.173--180. ⟨hal-00724828⟩

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