A Classification of Isolated Singularities of Elliptic Monge-Ampére Equations in Dimension Two-Reference-Cited by-同舟云学术

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A Classification of Isolated Singularities of Elliptic Monge-Ampére Equations in Dimension Two

Published:2015-05-06 Issue:12 Volume:68 Page:2085-2107
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Commun. Pur. Appl. Math.

Author:

Gálvez José A.¹,Jiménez Asun²,Mira Pablo³

Affiliation:

1. Departamento de Geometría y Topología; Universidad de Granada; 18071 Granada Spain

2. Departamento de Geometria, IME; Universidade Federal Fluminense; 24.020-140 Niterói Brazil

3. Departamento de Matemática Aplicada y Estadística; Universidad Politécnica de Cartagena; 30203 Cartagena Murcia Spain

Funder

Ministerio de Ciencia e Innovación

Consejería Economía, Innovación, Ciencia y Empleo, Junta de Andalucia

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/cpa.21581/fullpdf

Reference31 articles.

1. The Cauchy problem for improper affine spheres and the Hessian one equation;Aledo;Trans. Amer. Math. Soc.,2007

2. Isolated singularities of minimal surfaces;Bers;Ann. of Math. (2),1951

3. Removable singularities of solutions to elliptic Monge-Ampére equations;Beyerstedt;Math. Z.,1991

4. The behaviour of solutions to elliptic Monge-Ampére equations at singular points;Beyerstedt;Math. Z.,1994

5. Surfaces in terms of 2 by 2 matrices. Old and new integrable cases

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Isolated singularities of the prescribed mean curvature equation in Minkowski 3-space;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2018-09

2. Entire solutions of the degenerate Monge–Ampère equation with a finite number of singularities;Journal of Differential Equations;2016-12

3. Isolated singularities of graphs in warped products and Monge–Ampère equations;Journal of Differential Equations;2016-02

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