The translating soliton equation

DOI10.1007/978-3-030-68541-6_11zbMath1483.35178arXiv1812.00592OpenAlexW2903539048MaRDI QIDQ2065859

Rafael López

Publication date: 13 January 2022

Full work available at URL: https://arxiv.org/abs/1812.00592

zbMATH Keywords

maximum principleDirichlet problemPerron methodtranslating soliton

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) A priori estimates in context of PDEs (35B45) Soliton equations (35Q51) Harmonic functions on Riemann surfaces (30F15) Soliton solutions (35C08)

Related Items (2)

Translating solitons of translation and homothetical types ⋮ Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\)

Cites Work

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• The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
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• Elliptic regularization and partial regularity for motion by mean curvature
• Evolution of hypersurfaces in central force fields
• The nature of singularities in mean curvature flow of mean-convex sets
• The global geometry of surfaces with prescribed mean curvature in ℝ³
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• The Dirichlet Problem for Surfaces of Constant Mean Curvature
• Constant mean curvature graphs on unbounded convex domains

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