Bernstein Functions and the Dirichlet Problem

DOI10.1137/0520070zbMath0699.35095OpenAlexW2066756184MaRDI QIDQ3477276

Kirk E. Lancaster, Alan R. Elcrat

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520070

zbMATH Keywords

existenceminimal surfaceRiemann-Hilbert problemGauss mapstereographic projectionBernstein functionWeierstraß representationsymmetric quadrilateral

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Radial limits of nonparametric PMC surfaces with intermediate boundary curvature ⋮ Boundary continuity of nonparametric prescribed mean curvature surfaces ⋮ The geometry of curves of constant contact angle for doubly—connected minimal surfaces ⋮ Minimal surfaces, corners, and wires

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