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Théorème d'existence pour des problèmes variationnels non convexes

Published online by Cambridge University Press:  14 November 2011

J. P. Raymond
J. P. Raymond
Affiliation:
Laboratoire d'Analyse Numérique, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France
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Synopsis

On donne dans cet article un théorème d'existence de solutions lipschitziennes pour des problèmes du type:

où Ω est un ouvert convexe borné de ℝn, n ≧ 2, p ≧ 2, aucune hypothèse de convexité n'est faite sur g ou f. On étend de la sorte des ŕesultats d'existence obtenus en dimension 1.

where Ω is a bounded open convex subset of ℝn, n ≧ 2, p ≧ 2; we suppose no assumption of convexity on g or f. In this way we extend existence results proved in dimension 1.)

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 43 - 64
Copyright
Copyright © Royal Society of Edinburgh 1987

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