The Björling problem for prescribed mean curvature surfaces in $$\mathbb {R}^3$$ R 3

Author:

Bueno AntonioORCID

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Agencia de Innovación y Desarrollo de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference25 articles.

1. Aledo, J.A., Chaves, R.M.B., Gálvez, J.A.: The Cauchy problem for improper affine spheres and the Hessian one equation. Trans. Amer. Math. Soc. 359, 4183–4208 (2007)

2. Alexandrov, A.D.: Uniqueness theorems for surfaces in the large, I. Vestnik Leningrad Univ. 11 (1956), 5–17. (English translation): Amer. Math. Soc. Transl. 21 (1962), 341–354

3. Alías, L.J., Mira, P.: A Schwarz-type formula for minimal surfaces in Euclidean space $$\mathbb{R}$$ R . C. R. Acad. Sci. Paris Ser. I 334, 389–394 (2002)

4. Björling, E.G.: In integrazionem aequationis derivatarum partialum superfici cujus inpuncto uniquoque principales ambos radii curvedinis aequales sunt sngoque contrario. Arch. Math. Phys. 4(1), 290–315 (1844)

5. Brander, D., Dorfmeister, J.F.: The Björling problem for non-minimal constant mean curvature surfaces. Comm. Anal. Geom. 18, 171–194 (2010)

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