New estimates for equations of minimal surface type

DOI10.1007/BF00250712zbMath0133.04601OpenAlexW2139387320MaRDI QIDQ2395646

Robert Finn

Publication date: 1963

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250712

zbMATH Keywords

partial differential equations

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Cites Work

• Unnamed Item
• Unnamed Item
• On an absolute constant in the theory of quasi-conformal mappings
• On two-dimensional variational problems in parametric form
• Variational problems of minimal surface type. I
• On equations of minimal surface type
• Growth properties of solutions of non-linear elliptic equations
• On the Holder Continuity of Quasi Conformal and Elliptic Mappings
• Parametrizations of Saddle Surfaces, with Application to the Problem of Plateau
• A Remark on Linear Elliptic Differential Equations of Second Order
• On nonlinear elliptic partial differential equations and hölder continuity
• Univalent solutions of linear elliptic systems
• Isolated Singularities of Solutions of Nonlinear Partial Differential Equations