Lipschitz regularity of solutions of some asymptotically convex problems

Jean-Pierre Raymond

Source record

Source: Crossref

Published: Jan 1, 1991

DOI: 10.1017/s0308210500027608

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Source abstract

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.

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