The Dirichlet problem for the equation of prescribed mean curvature

DOI10.1016/S0294-1449(16)30225-6zbMath0784.53001MaRDI QIDQ1803496

Guofang Wang

Publication date: 29 June 1993

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_6_643_0

zbMATH Keywords

energy functionalmountain pass theoremEuler Lagrange equation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational methods for elliptic systems (35J50) Variational problems in infinite-dimensional spaces (58E99)

Related Items

The prescribed mean curvature equation with Dirichlet conditions, An \(H\)-system for a revolution surface without boundary, Weak limits of Palais-Smale sequences for a class of critical functionals, A Dirichlet problem for an \(H\)-system with variable \(H\), The prescribed mean curvature equation for nonparametric surfaces, Multiple solutions to the Plateau problem for nonconstant mean curvature

Cites Work

• Large H-surfaces via the mountain-pass-lemma
• Convergence of solutions of H-systems or how to blow bubbles
• Nonuniqueness in the Plateau problem for surfaces of constant mean curvature
• On the nonuniqueness of surfaces with constant mean curvature spanning a given contour
• On the existence of surfaces with prescribed mean curvature and boundary
• Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. I: Fest vorgegebener Rand
• An existence theorem for surfaces of constant mean curvature
• A general existence theorem for surfaces of constant mean curvature
• Multiple solutions ofH-systems and Rellich's conjecture
• Convergence of surfaces of prescribed mean curvature
• On the plateau problem for surfaces of constant mean curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item