Solution of boundary value problems for surfaces of prescribed mean curvature \(H (x, y, z)\) with 1-1 central projection via the continuity method

DOI10.1007/s10986-018-9399-yzbMath1403.35107OpenAlexW2888934908WikidataQ129332078 ScholiaQ129332078MaRDI QIDQ1617269

Friedrich Sauvigny

Publication date: 7 November 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-018-9399-y

zbMATH Keywords

\(H\)-graphs with 1-1 central projectioncontinuity method for Dirichlet's problem on strictly convex regionsembedded large solutions of Plateau's problem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60)

Cites Work

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• On equations of minimal surface type
• Multiple solutions ofH-systems and Rellich's conjecture
• Minimal Surfaces
• Regularity of Minimal Surfaces
• Partial differential equations 2. Functional analytic methods. With consideration of lectures by E. Heinz
• Surfaces of prescribed mean curvature \(H(x,y,z)\) with one-to-one central projection onto a plane

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