The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions

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• 作者：Chiara Corsato^a ; ^{corsato.chiara@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Colette De Coster^b ; ^{colette.decoster@univ-valenciennes.fr" class="auth_mail" title="E-mail the corresponding author} ; Pierpaolo Omari^a ; ^{omari@units.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J93 ; 35J25 ; 35J62 ; 35J67 ; 35B09 ; 35B51 ; 35D10 ; 35J20
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 March 2016
• 年：2016
• 卷：260
• 期：5
• 页码：4572-4618
• 全文大小：549 K

文摘

We discuss existence, uniqueness, regularity and boundary behaviour of solutions of the Dirichlet problem for the prescribed anisotropic mean curvature equation where 35ecc6" title="Click to view the MathML source">a,b>0$a,b>0$ are given parameters and Ω is a bounded Lipschitz domain in 35" title="Click to view the MathML source">R^N${\mathbb{R}}^N$. This equation appears in the modeling theory of capillarity phenomena for compressible fluids and in the description of the geometry of the human cornea.