Uniform gradient estimates of generalized parabolic mean curvature type equations with oblique boundary value problems

DOI10.3934/CPAA.2023128OpenAlexW4390542802MaRDI QIDQ6120950

Xueyi Zhang

Publication date: 21 February 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023128

zbMATH Keywords

maximum principleasymptotic behavioradditive eigenvalueuniform gradient estimatesadditive eigenfunctiongeneralized parabolic equation of mean curvature type

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with mean curvature operator (35K93)

Cites Work

• Periodic traveling waves of a mean curvature equation in high dimensional cylinders
• Non-parametric mean curvature evolution with boundary conditions
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains
• Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold \(M^2\times\mathbb{R}\)
• Translating solutions of non-parametric mean curvature flows with capillary-type boundary value problems
• Translating solutions of the nonparametric mean curvature flow with nonzero Neumann boundary data in product manifold \(M^n \times \mathbb{R}\)
• Mean curvature type flows of graphs with nonzero Neumann boundary data in product manifold \(M^n \times \mathbb{R} \)
• Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition

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