Given a family of locally Lipschitz vector fields X(x)=(X1(x),…,Xm(x)) on Rn, m≤n, we study functionals depending on X. We prove an integral representation for local functionals with respect to X and a result of Γ-compactness for a class of integral functionals depending on X.
Γ-convergence for functionals depending on vector fields. I. Integral representation and compactness
Maione, A.;
2020-01-01
Abstract
Given a family of locally Lipschitz vector fields X(x)=(X1(x),…,Xm(x)) on Rn, m≤n, we study functionals depending on X. We prove an integral representation for local functionals with respect to X and a result of Γ-compactness for a class of integral functionals depending on X.File in questo prodotto:
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