Kidney-Failure
发表于 2025-3-28 17:59:02
John Colley,Dimitrios Spyridonidislly a surface as the graph of a function .=.(.,.). Then the constancy of the mean curvature on the surface implies that . satisfies a second order partial differential equation of elliptic type. The ellipticity of the equation allows the use of the classical Hopf maximum principle. With the aid of t
metropolitan
发表于 2025-3-28 21:35:35
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notion
发表于 2025-3-29 01:27:11
Elisa Pozo Menéndez,Ester Higueras Garcíar the existence of an .-surface spanning a given boundary curve .. In general, the geometry of . imposes restrictions to the values of mean curvatures ., indeed, we will see that not all values of . are admissible. In this chapter, we shall obtain a flux formula for a compact cmc surface . immersed
GLADE
发表于 2025-3-29 06:41:51
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Indicative
发表于 2025-3-29 10:54:11
Easkey Britton,Sarah O’Malley,Sara Hunt is umbilical under the assumption of embeddedness. In this chapter we shall consider that the topology of the surface is the simplest one, say, a disk. We shall prove that if a cmc disk immersed in . spans a circle and its area is less than or equal to of a spherical cap with the same mean curvatur
ESO
发表于 2025-3-29 14:17:46
https://doi.org/10.1007/978-3-030-94460-5mates of Ladyzhenskaya and Uraltseva, the existence of the Dirichlet problem reduces to the question of obtaining a priori estimates for the solution and its gradient. The purpose of the present chapter is to study the geometry that lies behind the Dirichlet problem, giving a geometric approach to t
Hallowed
发表于 2025-3-29 17:09:55
https://doi.org/10.1007/978-3-030-94460-5aracterize the solvability of the Dirichlet problem when . is convex. In this setting, we employ cylinders as barriers. If . is not convex, we use nodoids to obtain results of existence when . satisfies a uniform circle exterior condition. By the way, we shall obtain height estimates for cmc graphs
使隔离
发表于 2025-3-29 23:13:38
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Instantaneous
发表于 2025-3-30 02:16:42
Ria Ann Dunkley,Thomas Aneurin Smiths the different notions of graphs, there is a variety of problems of Dirichlet type. In this chapter we study geodesic graphs defined in a domain . of a horosphere, a geodesic plane and an equidistant surface. In order to describe the techniques, we consider the Dirichlet problem when . is a bounded