Harmonic mappings with partially free boundary

DOI10.1007/BF01174879zbMath0504.58016MaRDI QIDQ1836205

Alfred Baldes

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154906

zbMATH Keywords

Dirichlet problem for harmonic mappingsexistence and regularity for harmonic maps

Mathematics Subject Classification ID

Related Items (13)

Energy minimizing harmonic maps with an obstacle at the free boundary ⋮ Heat flows and harmonic maps with a free boundary ⋮ A mixed boundary value problem for energy minimizing harmonic maps ⋮ Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary ⋮ A multiple-valued plateau problem ⋮ A free boundary value problem of nematic liquid crystals with variable degree of orientation ⋮ Singularity formation in the harmonic map flow with free boundary ⋮ Nematic liquid crystal flow with partially free boundary ⋮ On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres ⋮ A priori estimates for harmonic mappings ⋮ Liouville theorems for self-similar solutions of heat flows ⋮ Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary ⋮ Evolution equations with a free boundary condition

Cites Work

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• Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen, die ein Dirichletproblem lösen
• Über die Stetigkeit teilweise freier Minimalflächen
• On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area
• The Green function for uniformly elliptic equations
• Harmonic maps of manifolds with boundary
• Some regularity results for quasilinear elliptic systems of second order
• An existence theorem for harmonic mappings of Riemannian manifolds
• Über das Randverhalten von Minimalflächen
• A Report on Harmonic Maps
• Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold

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