Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model

Author:

Byeon Jaeyoung,Ikoma Norihisa,Malchiodi Andrea,Mari Luciano

Funder

the National Research Foundation of Korea

Japan Society for the Promotion of Science

Scuola Normale Superiore

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,General Physics and Astronomy,Mathematical Physics,Analysis

Reference62 articles.

1. Adams, R.A., Fournier, J.J.F.: Sobolev spaces. Pure and Applied Mathematics (Amsterdam), vol. 140, 2nd edn. Elsevier/Academic Press, Amsterdam (2003)

2. Akamine, S., Umehara, M., Yamada, K.: Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Proc. Japan Acad. Ser. A Math. Sci. 95(9), 97–102 (2019)

3. Alías, L.J., Mastrolia, P., Rigoli, M.: Maximum principles and geometric applications. Springer Monographs in Mathematics. Springer, Cham (2016)

4. Audounet, J., Bancel, D.: Sets with spatial boundary and existence of submanifolds with prescribed mean extrinsic curvature of a Lorentzian manifold. J. Math. Pures Appl. (9) 60(3), 267–283 (1981)

5. Bartnik, R.: Regularity of variational maximal surfaces. Acta Math. 161(3–4), 145–181 (1988)

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