Titlebook: Constant Mean Curvature Surfaces with Boundary; Rafael López Book 2013 Springer-Verlag Berlin Heidelberg 2013 53, 53A, 53A10, 53C42, 35J,

cortisol

JOT

Constant Mean Curvature Spacelike Surfaces in Lorentz-Minkowski Space,n we are interested in studying the influence of the geometry of the boundary on the shape of the surface. Although the mean curvature equation for a such surface is elliptic again, we shall present some differences with the Euclidean setting. For example, although a flux formula is derived and whic

Implicit

Metamorphosis

Constant Mean Curvature Disks with Circular Boundary,e and boundary, then the surface is, indeed, a spherical cap. Also, we shall prove that under the assumption of stability, a cmc disk spanning a circle must be umbilical, given a partial answer of the boundary version of the Barbosa-do Carmo theorem. Finally, we end the chapter obtaining estimates of the area of a cmc disk with circular boundary.

啞巴

The Dirichlet Problem in Hyperbolic Space, domain and the boundary curve is .. As in Euclidean space, we shall prove existence of such graphs provided there is a certain relation between . and the value of the mean curvature .. of . as submanifold of?..

實現(xiàn)

機密

Paradoxes in Executive Developmentd in the discovery by Wente of a torus immersed in Euclidean space with constant mean curvature. This opened news sights of the theory. For surfaces with boundary, Douglas and Radó considered the Plateau problem for minimal surfaces and later, in the general case of mean curvature, by Heinz, Hildebrandt and others in the fifties of XX century.

curriculum

業(yè)余愛好者

https://doi.org/10.1007/978-3-030-94460-5hod of super and subsolutions. The subsolution will be a solution of the minimal surface equation, while a supersolution is replaced by a family of local upper barriers, which will be pieces of cylinders or nodoids depending on the domain.

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