A NEW WAY TO DIRICHLET PROBLEMS FOR MINIMAL SURFACE SYSTEMS IN ARBITRARY DIMENSIONS AND CODIMENSIONS-Reference-Cited by-同舟云学术

A NEW WAY TO DIRICHLET PROBLEMS FOR MINIMAL SURFACE SYSTEMS IN ARBITRARY DIMENSIONS AND CODIMENSIONS

Published:2015 Issue:1 Volume:69 Page:1-9
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

MAO Jing¹

Affiliation:

1. Department of Mathematics Harbin Institute of Technology (Weihai)

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/69/1/69_001/_pdf

Reference15 articles.

1. [1] A. L. Albujer and J. L. Alias. Calabi-Berstein results for maximal surfaces in Lorentzian product spaces. J. Geom. Phys. 59 (2009), 620-631.

2. [2] L. Caffarelli, L. Nirenberg and J. Spruck. The Dirichlet problem for nonlinear second-order elliptic equations. III. Functions of the eigenvalues of the Hessian. Acta Math. 155 (1985), 261-301.

3. [3] E. De Giorgi. Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3) 3 (1957), 25-43.

4. [4] H. Jenkins and J. Serrin. The Dirichlet problem for the minimal surface equation in higher dimensions. J. Reine Angew. Math. 229 (1968), 170-187.

5. [5] H. B. Lawson Jr. and R. Osserman. Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system. Acta Math. 139 (1977), 1-17.

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