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.

Uniqueness and continuous dependence on boundary data for integro-extremal minimizers of the functional of the gradient / Zagatti, Sandro. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 14:4(2007), pp. 705-727.

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

Zagatti, Sandro
2007

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.
14
4
705
727
http://www.heldermann.de/JCA/JCA14/JCA144/jca14042.htm
Zagatti, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/17170
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