A lower semicontinuity result is obtained for the BV extension of an integral functional of the type $\int_\Omega f(x, u(x), \nabla u(x)) dx$, where the energy density f is not coercive and satisfies mild regularity assumptions.
On L^1-lower semicontinuity in BV / V., DE CICCO; Fusco, Nicola; Verde, Anna. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 12:1(2005), pp. 173-185.
On L^1-lower semicontinuity in BV
FUSCO, NICOLA;VERDE, ANNA
2005
Abstract
A lower semicontinuity result is obtained for the BV extension of an integral functional of the type $\int_\Omega f(x, u(x), \nabla u(x)) dx$, where the energy density f is not coercive and satisfies mild regularity assumptions.File in questo prodotto:
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