Currently displaying 1 – 11 of 11

Showing per page

Order by Relevance | Title | Year of publication

Smooth approximation in weighted Sobolev spaces

Tero Kilpeläinen — 1997

Commentationes Mathematicae Universitatis Carolinae

We give necessary and sufficient conditions for the equality H = W in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.

Problems involving p -Laplacian type equations and measures

Tero Kilpeläinen — 2002

Mathematica Bohemica

In this paper I discuss two questions on p -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to - div ( | u | p - 2 u ) = μ with zero boundary values; here μ is a Radon measure. The joining link between the problems is the use of equations involving measures.

Page 1

Download Results (CSV)