Boundary regularity of minimizers of p(x)-energy functionals

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• 作者：Maria Alessandra Ragusa^a ; ^{maragusa@dmi.unict.it" class="auth_mail" title="E-mail the corresponding author} ; Atsushi Tachikawa^b ; ^{Tachikawa_atsushi@ma.noda.tus.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：49N60 ; 35J50 ; 58E20
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2016
• 出版时间：March-April 2016
• 年：2016
• 卷：33
• 期：2
• 页码：451-476
• 全文大小：423 K

文摘

The paper is devoted to the study of the regularity on the boundary ∂Ω   of a bounded open set Ω⊂R^m$\Omega \subset {\mathbb{R}}^m$ for minimizers u   for p(x)$p(x)$-energy functionals of the following type where (g^αβ(x))$(g^{\alpha \beta }(x))$ and (G_ij(u))$(G_{ij}(u))$ are symmetric positive definite matrices whose entries are continuous functions and p(x)≥2$p(x)\ge 2$ is a continuous function. The authors prove that such minimizers u have no singular points on the boundary.