Minimal surfaces with free boundaries
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Publication:1144791
DOI10.1007/BF02392096zbMath0444.49035MaRDI QIDQ1144791
Stefan Hildebrandt, Johannes C. C. Nitsche
Publication date: 1979
Published in: Acta Mathematica (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Free boundary problems for PDEs (35R35)
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Cites Work
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- \(L^p\)-estimates for solutions to the instationary Navier-Stokes-equations in dimension two
- Boundary behavior of minimal surfaces
- The boundary behavior of minimal surfaces. Kellogg's theorem and branch points on the boundary
- Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen
- Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition
- The existence of minimal surfaces of given topological structure under prescribed boundary conditions
- Boundary regularlty for solutions to various capillarity and free boundary problems
- Some remarks on minimal surfaces in riemannian manifolds
- Behavior of minimal surfaces with free boundaries
- On the Boundary Behavior of Minimal Surfaces
- On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
