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Journal Articles Journal of Convex Analysis Year : 2011

Higher Integrability for Solutions to Variational Problems with Fast Growth

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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Dates and versions

hal-00724828 , version 1 (22-08-2012)

Identifiers

  • HAL Id : hal-00724828 , version 1

Cite

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