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Uniqueness and continuous dependence on boundary data for integro-extremal minimizers of the functional of the gradient

TitleUniqueness and continuous dependence on boundary data for integro-extremal minimizers of the functional of the gradient
Publication TypeJournal Article
Year of Publication2007
AuthorsZagatti, S
JournalJ. Convex Anal. 14 (2007) 705-727
Abstract

We study some qualitative properties of the integro-extremal minimizers of the functional of the gradient defined on Sobolev spaces with Dirichlet boundary conditions. We discuss their use in the non-convex case via viscosity methods and give conditions under which they are unique and depend continuously on boundary data.

URLhttp://hdl.handle.net/1963/2762

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