Multiple surfaces of non-constant mean curvature

DOI10.1007/BF02571958zbMath0814.53008MaRDI QIDQ1346339

Norbert Jakobowsky

Publication date: 12 June 1995

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

Full work available at URL: https://eudml.org/doc/174704

zbMATH Keywords

mountain pass lemmaprescribed mean curvaturePlateau problemPalais Smale condition

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational methods for elliptic systems (35J50)

Related Items

EXISTENCE OF MINIMAL H-BUBBLES, Weak limit and blowup of approximate solutions to \(H\)-systems, The Dirichlet problem for \(H\)-systems with small boundary data: blowup phenomena and nonexistence results, Blow-up analysis for the prescribed mean curvature equation on \(\mathbb R^2\), A note on the existence of \(H\)-bubbles via perturbation methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Das Problem von Douglas für Flächen konstanter mittlerer Krümmung
• Large H-surfaces via the mountain-pass-lemma
• Nonuniqueness in the Plateau problem for surfaces of constant mean curvature
• On the nonuniqueness of surfaces with constant mean curvature spanning a given contour
• Large solutions to the volume constrained Plateau problem
• On the existence of surfaces with prescribed mean curvature and boundary
• On interior and boundary regularity of weak solutions to a certain quasilinear elliptic system
• Existence theorems for one-to-one mappings associated with elliptic systems of second order. I
• An existence theorem for surfaces of constant mean curvature
• On surfaces of constant mean curvature which span a given space curve
• Unstable surfaces of constant mean curvature
• Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt
• Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
• Multiple solutions ofH-systems and Rellich's conjecture
• On a critical point theory for minimal surfaces spanning a wire in Rn.
• A perturbation result concerning a second solution to the Dirichlet problem for the equation of prescribed mean curvature.
• The Continuity of the Area of Harmonic Surfaces as a Function of the Boundary Representations