Differentiable imbeddings

Differentiable Imbeddings

1. Terminology. V and M will be differentiable manifolds of dimension n and m respectively; differentiable meaning always of class C. For simplicity, we assume V compact and without boundary. We shall have to consider several categories of maps: (1) the category of continuous maps, (2) the category of topological imbeddings, (3) the category of topological immersions: a map ƒ: F—>M is a topolog...

Imbeddings, Immersions, and Cobordism of Differentiable Manifolds

Modified Simplex Imbeddings Method in Convex Non-differentiable Optimization

We consider a new interpretation of the modified simplex imbeddings method. The main construction of this method is a simplex which contains a solution of convex non-differentiable problem. A cutting plane drawn through the simplex center is used to delete a part of the simplex without the solution. The most interesting feature of this method is the convergence estimation which depends only on ...

Limiting Imbeddings { the Case

We consider fractional Sobolev spaces with dominating mixed derivatives and prove some generalizations of Trudinger's limiting imbedding theorem.

Imbeddings of Brézis - Wainger type .

We prove limiting imbeddings of spaces with dominating mixed derivatives into the spaces of almost Lipschitz continuous functions.