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.File in questo prodotto:
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