inscribe 发表于 2025-3-23 13:22:22

Convex Bodies and HypersurfacesThe concept of a convex set can be introduced in any linear space .. A set . in . is called . if the line segment . is contained in . for any elements a, ., i.e. . for any . and any . ∈ .

的阐明 发表于 2025-3-23 16:40:57

Mixed Volumes. Minkowski Problem. Selected Global Problems in Geometric Partial Differential EquatioLet . be a (. + 1)-dimensional Euclidean vector space. We denote by E. the (n + 1)-dimensional Euclidean point space associated with . (see §1). Then every vector . ∈ . generates a parallel translation . in the following way: for any point . ∈ ., where . is the terminal point of the vector ..

LIEN 发表于 2025-3-23 22:00:20

The Geometric Maximum Principle for General Non-Divergent Quasilinear Elliptic EquationsIn this chapter we present the geometric maximum principles for solutions . of the elliptic Dirichlet problem .where . is a bounded domain in the Euclidean space . and . is a closed continuous hypersurface in .. We assume that ..

CLAMP 发表于 2025-3-24 01:50:25

http://reply.papertrans.cn/24/2379/237830/237830_14.png

Desert 发表于 2025-3-24 03:39:24

Victorian Poetry and Modern Lifections is the extension of Monge-Ampere operators to the class of all general convex functions. We study in detail the properties of the normal mapping and .-curvature of convex functions and then investigate the solvability of the Dirichlet problem for weak and generalized elliptic solutions togeth

展览 发表于 2025-3-24 08:15:27

Victorian Poetry and Modern Lifelute minimum of these variational problems turns out to be a generalized solution of the corresponding Monge-Ampere equations. In this chapter we study explicitly the main variational problem connected with the Monge- Ampere equation . and also consider generalizations of it.

Receive 发表于 2025-3-24 13:28:02

http://reply.papertrans.cn/24/2379/237830/237830_17.png

贸易 发表于 2025-3-24 18:05:17

Virginia Woolf and the Modern Sublime: ,with prescribed Gaussian curvature . in (. + l)-dimensional Euclidean space .. Here . is a positive continuous function on the unit hypersphere . ⊂ ., which is centered at the origin of .. The Minkowski problem is the problem of existence and uniqueness of a closed convex hypersurface . with Gaussia

V切开 发表于 2025-3-24 22:48:13

http://reply.papertrans.cn/24/2379/237830/237830_19.png

惹人反感 发表于 2025-3-24 23:25:52

http://reply.papertrans.cn/24/2379/237830/237830_20.png
页: 1 [2] 3 4 5
查看完整版本: Titlebook: Convex Analysis and Nonlinear Geometric Elliptic Equations; Ilya J. Bakelman Book 1994 Springer-Verlag Berlin Heidelberg 1994 Convex analy