標題: Titlebook: Constant Mean Curvature Surfaces with Boundary; Rafael López Book 2013 Springer-Verlag Berlin Heidelberg 2013 53, 53A, 53A10, 53C42, 35J, [打印本頁] 作者: Dopamine 時間: 2025-3-21 20:09
書目名稱Constant Mean Curvature Surfaces with Boundary影響因子(影響力)
書目名稱Constant Mean Curvature Surfaces with Boundary影響因子(影響力)學(xué)科排名
書目名稱Constant Mean Curvature Surfaces with Boundary網(wǎng)絡(luò)公開度
書目名稱Constant Mean Curvature Surfaces with Boundary網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Constant Mean Curvature Surfaces with Boundary被引頻次
書目名稱Constant Mean Curvature Surfaces with Boundary被引頻次學(xué)科排名
書目名稱Constant Mean Curvature Surfaces with Boundary年度引用
書目名稱Constant Mean Curvature Surfaces with Boundary年度引用學(xué)科排名
書目名稱Constant Mean Curvature Surfaces with Boundary讀者反饋
書目名稱Constant Mean Curvature Surfaces with Boundary讀者反饋學(xué)科排名
作者: 戰(zhàn)勝 時間: 2025-3-21 23:01
Surfaces with Constant Mean Curvature,arise as solutions of a variational problem associated to the area functional and related with the classical isoperimetric problem. We state the first and second variation formula for the area and we give the notion of stability of a cmc surface. Next, we introduce the complex analysis as a basic to作者: modifier 時間: 2025-3-22 02:57 作者: hieroglyphic 時間: 2025-3-22 06:44
Constant Mean Curvature Embedded Surfaces,e context of embedded surfaces, this problem may be partially answered using the reflection technique of Alexandrov. With this method we will give conditions whether the symmetries of the boundary are inherited to the surface, in particular, when the boundary is a plane curve. We employ the method o作者: 能得到 時間: 2025-3-22 09:18 作者: embolus 時間: 2025-3-22 13:32 作者: embolus 時間: 2025-3-22 17:45
Constant Mean Curvature Disks with Circular Boundary, 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作者: assent 時間: 2025-3-22 22:21
The Dirichlet Problem of the cmc Equation,mates 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作者: Motilin 時間: 2025-3-23 01:42 作者: CAPE 時間: 2025-3-23 09:09
Constant Mean Curvature Surfaces in Hyperbolic Space,n Euclidean space, there are some differences, emphasizing the variety of umbilical surfaces of?. because besides totally geodesic surfaces and spheres, there are equidistant surfaces and horospheres. We shall investigate if the umbilical surfaces are the only possible examples with boundary a circl作者: cortisol 時間: 2025-3-23 13:31 作者: JOT 時間: 2025-3-23 16:20
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作者: Implicit 時間: 2025-3-23 20:15 作者: Metamorphosis 時間: 2025-3-23 23:00
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.作者: 啞巴 時間: 2025-3-24 04:27
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?..作者: 實現(xiàn) 時間: 2025-3-24 09:35 作者: 機密 時間: 2025-3-24 11:54
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.作者: curriculum 時間: 2025-3-24 16:21 作者: 業(yè)余愛好者 時間: 2025-3-24 22:02
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.作者: labile 時間: 2025-3-25 02:04 作者: modest 時間: 2025-3-25 03:22 作者: 官僚統(tǒng)治 時間: 2025-3-25 08:47
Surfaces with Constant Mean Curvature,f a cmc surface. As the Laplacian operator is elliptic, the maximum principle yields height estimates of a graph of constant mean curvature. Finally, and with the aid of the expression of these Laplacians, we will derive the Barbosa-do Carmo theorem that characterizes a round sphere in the family of closed stable cmc surfaces of Euclidean space.作者: interference 時間: 2025-3-25 14:45
The Dirichlet Problem in Unbounded Domains,hod 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.作者: 叢林 時間: 2025-3-25 17:02 作者: 扔掉掐死你 時間: 2025-3-25 20:03
John Colley,Dimitrios Spyridonidist the surface lies on one side of the boundary plane. Comparing the surface with spheres and cylinders with the same mean curvature, we obtain characterizations of a sphere if the surface is included in the closure of an Euclidean ball or a cylinder whose radii are related with the value of the mean curvature of the surface.作者: 智力高 時間: 2025-3-26 03:21 作者: hematuria 時間: 2025-3-26 04:40
Elisa Pozo Menéndez,Ester Higueras García the value of mean curvature of the surface. In the last section, we will prove that if an embedded surface with convex boundary is transverse to the boundary plane then it lies on one side of this plane.作者: 圣歌 時間: 2025-3-26 08:32
https://doi.org/10.1007/978-3-030-94460-5ylinders, we shall assume that the domain is convex, and if we employ nodoids, we suppose that the domain satisfies a certain exterior circle condition. We finish the chapter with a discussion of the corresponding Dirichlet problem of the cmc equation in domains of the unit sphere whose solutions represent radial graphs.作者: 冷漠 時間: 2025-3-26 15:48 作者: 乳汁 時間: 2025-3-26 19:52
The Comparison and Tangency Principles,t the surface lies on one side of the boundary plane. Comparing the surface with spheres and cylinders with the same mean curvature, we obtain characterizations of a sphere if the surface is included in the closure of an Euclidean ball or a cylinder whose radii are related with the value of the mean curvature of the surface.作者: Jargon 時間: 2025-3-26 21:06
Constant Mean Curvature Embedded Surfaces,at the surface is a graph. Finally, we use the Alexandrov method for embedded cmc surfaces whose boundary lies in a sphere and we give conditions that ensure that the surface lies on one side of the sphere.作者: 炸壞 時間: 2025-3-27 04:52
The Flux Formula for Constant Mean Curvature Surfaces, the value of mean curvature of the surface. In the last section, we will prove that if an embedded surface with convex boundary is transverse to the boundary plane then it lies on one side of this plane.作者: Host142 時間: 2025-3-27 06:34
The Dirichlet Problem of the cmc Equation,ylinders, we shall assume that the domain is convex, and if we employ nodoids, we suppose that the domain satisfies a certain exterior circle condition. We finish the chapter with a discussion of the corresponding Dirichlet problem of the cmc equation in domains of the unit sphere whose solutions represent radial graphs.作者: 刪減 時間: 2025-3-27 10:40
Constant Mean Curvature Spacelike Surfaces in Lorentz-Minkowski Space, problem of the mean curvature equation for spacelike graphs. Based on the properties of the rotational cmc surfaces in?., which provide good barriers for the necessary ..-estimates, it will be proved that given a bounded domain ., the solvability of the Dirichlet problem in . is ensured for arbitrary boundary data and values of?..作者: 推遲 時間: 2025-3-27 15:18 作者: 光滑 時間: 2025-3-27 21:05 作者: 相同 時間: 2025-3-27 23:17
Ria Ann Dunkley,Thomas Aneurin Smith 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?..作者: congenial 時間: 2025-3-28 05:49
Book 2013ortant mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is a作者: 網(wǎng)絡(luò)添麻煩 時間: 2025-3-28 08:32
Paradoxes in Executive Developmento ways that historically have gone parallel, depending if in the variational characterization we consider only one constraint (the volume) or two constrains (the volume and the boundary). In the first case, we recall the different characterizations of the sphere in the family of closed surfaces with作者: zonules 時間: 2025-3-28 13:35
John Colley,Dimitrios Spyridonidisarise as solutions of a variational problem associated to the area functional and related with the classical isoperimetric problem. We state the first and second variation formula for the area and we give the notion of stability of a cmc surface. Next, we introduce the complex analysis as a basic to作者: Kidney-Failure 時間: 2025-3-28 17:59
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作者: metropolitan 時間: 2025-3-28 21:35 作者: notion 時間: 2025-3-29 01:27
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 作者: GLADE 時間: 2025-3-29 06:41 作者: Indicative 時間: 2025-3-29 10:54
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作者: ESO 時間: 2025-3-29 14:17
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作者: Hallowed 時間: 2025-3-29 17:09
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 作者: 使隔離 時間: 2025-3-29 23:13 作者: Instantaneous 時間: 2025-3-30 02:16
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
