We study the properties of the integro-extremal minimizers of functional of the form F(u) = ∫ωf(x, Du) dx, u ∈ φ + W 01,p(ω). We give a well posedness result and discuss the viscosity properties associated to the solution of the minimum problem in the non convex case. .
Qualitative properties of integro-extremal minimizers of non-homogeneous scalar functionals / Zagatti, Sandro. - In: INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS. - ISSN 1311-8080. - 51:1(2009), pp. 103-116.
Qualitative properties of integro-extremal minimizers of non-homogeneous scalar functionals
Zagatti, Sandro
2009-01-01
Abstract
We study the properties of the integro-extremal minimizers of functional of the form F(u) = ∫ωf(x, Du) dx, u ∈ φ + W 01,p(ω). We give a well posedness result and discuss the viscosity properties associated to the solution of the minimum problem in the non convex case. .File in questo prodotto:
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