Partial regularity for polyconvex functionals depending on the Hessian determinant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

Partial regularity for polyconvex functionals depending on the Hessian determinant

Authors:	Menita Carozza Chiara Leone Antonia Passarelli di Napoli Anna Verde

Affiliation:	(1) Dipartimento Pe.Me.Is, Università degli studi del Sannio, Piazza Arechi 2, 82100 Benevento, Italy;(2) Dipartimento di Matematica e Applicazioni “R.Caccioppoli”, Università di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy

Abstract:	We prove a C ^2,α partial regularity result for local minimizers of polyconvex variational integrals of the type ${I(u)=int_Omega \|D^{2}u\|^2+g({det}(D^2u))dx}$ , where Ω is a bounded open subset of ${ mathbb {R}^{2}}$ , ${uin W_{loc}^{2,2}(Omega)}$ and ${gin C^{2}(mathbb {R})}$ is a convex function, with subquadratic growth.

Keywords:	KeywordHeading" >Mathematics Subject Classification (2000) 35G99 49N60 49N99
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