A remark on the <Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">1</Emphasis></Superscript>-lower semicontinuity for integral functionals in BV期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A remark on the L1-lower semicontinuity for integral functionals in BV

Authors:	Nicola?Fusco,Flavia?Giannetti,Anna?Verde author-information" > author-information__contact u-icon-before" > mailto:anverde@unina.it" title=" anverde@unina.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Dipartimento di Matematica e Applicazioni, Via Cintia, 80126 Napoli, Italy

Abstract:	We study the L ¹-lower semicontinuity in BV of an integral functional of the type ${{displaystyle{{ int_{{Omega}}f(x,u,nabla u)dx+ int_{{Omega}} {{-kern-,375cmint}}_{{u^-(x)}}^{{u^+(x)}}f^infty(x,t,frac{{D^su}}{{\|D^su\|}})dt d\|D^su\|}}}}$ . Our assumptions on f extend previous results recently obtained by Gori, Maggi and Marcellini in the case where the above functional is restricted to W ^1,1.

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