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. This extends and generalizes some recent results on this subject.
On L^1- lower semicontinuity in BV(Omega) / DE CICCO, Virginia; Fusco, N; Verde, A.. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 12:(2005), pp. 173-185.
On L^1- lower semicontinuity in BV(Omega)
DE CICCO, Virginia;
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. This extends and generalizes some recent results on this subject.File allegati a questo prodotto
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