The relaxation of functionals with surface energies

1 January 1989

journal article
Published by SAGE Publications in Asymptotic Analysis

Vol. 2 (4) , 279-298
https://doi.org/10.3233/asy-1989-2402

Abstract

The relaxation of a variational principle is determined when a superficial term is present. Lower semicontinuity of the functional may fail even when both integrands are convex. Generalized solutions, in terms of parametrized measures or Young measur

Keywords

PARAMETRIZED
INTEGRANDS
FAIL
SEMICONTINUITY
SUPERFICIAL
CONVEX
ENERGIES THE RELAXATION
FUNCTIONALS WITH SURFACE

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