Translating Tridents

DOI10.1080/03605300902768685zbMath1187.53071OpenAlexW4243553685MaRDI QIDQ3628751

Xuan Hien Nguyen

Publication date: 20 May 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300902768685

zbMATH Keywords

mean curvature floweternal solutionsself-translating

Mathematics Subject Classification ID

Related Items (38)

Compact translating solitons with non-empty planar boundary ⋮ TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW IN ⋮ Mean curvature self-shrinkers of high genus: non-compact examples ⋮ Quantitative index bounds for translators via topology ⋮ Ancient asymptotically cylindrical flows and applications ⋮ Bi-Halfspace and Convex Hull Theorems for Translating Solitons ⋮ Self-shrinkers with a rotational symmetry ⋮ Complete embedded self-translating surfaces under mean curvature flow ⋮ Rigidity of symplectic translating solitons ⋮ Finite topology self-translating surfaces for the mean curvature flow in \(\mathbb{R}^3\) ⋮ Nguyen's tridents and the classification of semigraphical translators for mean curvature flow ⋮ On the topology of translating solitons of the mean curvature flow ⋮ Rigidity results for mean curvature flow graphical translators moving in non-graphical direction ⋮ Helicoidal surfaces rotating/translating under the mean curvature flow ⋮ Generic mean curvature flow. I: Generic singularities ⋮ A Carleman inequality on product manifolds and applications to rigidity problems ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ The structure of translating surfaces with finite total curvature ⋮ Translating solitons over Cartan-Hadamard manifolds ⋮ Steady Kähler–Ricci solitons on crepant resolutions of finite quotients of Cn$\mathbb {C}^n$ ⋮ Translating solitons foliated by spheres ⋮ Rigidity results and topology at infinity of translating solitons of the mean curvature flow ⋮ Translating solitons in Riemannian products ⋮ Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation ⋮ A characterization of the grim reaper cylinder ⋮ Doubly periodic self-translating surfaces for the mean curvature flow ⋮ Remarks on topology of stable translating solitons ⋮ The mean curvature flow by parallel hypersurfaces ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ Ancient and eternal solutions to mean curvature flow from minimal surfaces ⋮ Singularities of mean curvature flow ⋮ Translating solitons 𝐶¹-asymptotic to two half-hyperplanes ⋮ Construction of complete embedded self-similar surfaces under mean curvature flow. III ⋮ Translating solitons of the mean curvature flow ⋮ Notes on translating solitons for mean curvature flow ⋮ On the gluing construction of translating solitons to Lagrangian mean curvature flow ⋮ Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space ⋮ A Bernstein type result of translating solitons

Cites Work

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• Construction de surfaces minimales en recollant des surfaces de Scherk. (Minimal surfaces constructed by gluing Scherk surfaces.)
• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• Complete constant mean curvature surfaces in Euclidean three-space
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Construction of complete embedded self-similar surfaces under mean curvature flow. Part I.

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