Prescribed mean curvature equations under the transformation with non-orthogonal curvilinear coordinates

DOI10.1016/J.NA.2006.07.016zbMath1143.35055OpenAlexW2073093428MaRDI QIDQ880276

Kazuya Hayasida, Yoshiaki Ikeda

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.016

zbMATH Keywords

Dirichlet problemmean curvaturequasilinear elliptic equationsH-convexity condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Related Items (2)

The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions ⋮ A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis

Cites Work

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• On the Dirichlet problem for surfaces of prescribed mean curvature
• Dirichlet problem for evolutionary surfaces of prescribed mean curvature in a non-convex domain
• The prescribed mean curvature equation for nonparametric surfaces
• Global behaviour of solutions to a parabolic mean curvature equation
• Shorter Notes: Nonexistence of Some Nonparametric Surfaces of Prescribed Mean Curvature
• On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition
• The Dirichlet problem for the minimal surface equation in higher dimensions.
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations

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