Isolated singularities of Monge-Ampère equations

DOI10.1007/BF01191344zbMath0799.35067MaRDI QIDQ1327496

Erhard Heinz, Ralf Beyerstedt

Publication date: 19 June 1994

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

punctured diskremovable singularityelliptic Monge-Ampère equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20)

Related Items (7)

A Classification of Isolated Singularities of Elliptic Monge‐Ampére Equations in Dimension Two ⋮ Entire solutions of the degenerate Monge-Ampère equation with a finite number of singularities ⋮ Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities ⋮ Isolated singularities of graphs in warped products and Monge-Ampère equations ⋮ Preface ⋮ Isolated singularities of elliptic Monge-Ampère equations in dimensions \(n\geq 2\) ⋮ Non-removable singularities of a fourth-order nonlinear partial differential equation

Cites Work

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• The behaviour of solutions to elliptic Monge-Ampère equations at singular points
• On elliptic Monge-Ampère equations and Weyl's embedding problem
• Über das Nichtverschwinden der Funktionaldeterminante bei einer Klasse eineindeutiger Abbildungen
• Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
• Harmonische Abbildungen und die Differentialgleichung \(rt-s^2=1\)
• On nonlinear elliptic partial differential equations and hölder continuity

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