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Lipschitz regularity of solutions of some asymptotically convex problems

Published online by Cambridge University Press:  14 November 2011

Jean-Pierre Raymond
Jean-Pierre Raymond
Affiliation:
Université Paul Sabatier, Laboratoire d'Analyse Numérique, 118 Route de Narbonne, 31062 Toulouse Cedex, France
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Synopsis

We prove local Lipschitz regularity for minimisers of integral functionals of the form J(u) = ∫Ω{f(Du(x)) + g(x, u(x))} dx, where the integrand f is not convex but satisfies some asymptotic convexity assumption.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 1-2 , 1991 , pp. 59 - 73
Copyright
Copyright © Royal Society of Edinburgh 1991

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