Heat flow for the equation of surfaces with prescribed mean curvature

DOI10.1007/BF01445195zbMath0761.58052MaRDI QIDQ1191423

Olivier Rey

Publication date: 27 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164854

zbMATH Keywords

harmonic mapmean curvatureheat flow

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (19)

Homoclinic solutions for a class of prescribed mean curvature Liénard equations ⋮ On the heat flow of equation of \(H\)-surface ⋮ Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation ⋮ Existence of heteroclinic solutions for the prescribed curvature equation ⋮ On the heat flow of equation of surfaces of constant mean curvatures ⋮ Multiplicity results for discrete partial mean curvature problems ⋮ Global existence and finite time blow‐up for the heat flow of H‐system with constant mean curvature ⋮ Energy identity of the heat flow of \(H\)-systems at finite singular time ⋮ Uniqueness for weak flow ofH—systems with dirichlet boundary conditons ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ Positive solutions of the prescribed mean curvature equation with exponential critical growth ⋮ Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations ⋮ Heat flow for the minimal surface with Plateau boundary condition. ⋮ A global existence result for the heat flow of higher dimensional H-systems ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature ⋮ Periodic solutions for a prescribed mean curvature equation with multiple delays ⋮ Some aspects of Dirac-harmonic maps with curvature term ⋮ Finite time blow-up for the heat flow of $H$-surface with constant mean curvature ⋮ Multiple solutions to the Plateau problem for nonconstant mean curvature

Cites Work

• Unnamed Item
• On the evolution of harmonic mappings of Riemannian surfaces
• Harmonic maps of manifolds with boundary
• Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
• Convergence of surfaces of prescribed mean curvature
• A Theory of Branched Immersions of Surfaces
• On the plateau problem for surfaces of constant mean curvature

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