On the fusion problem for degenerate elliptic equations II

Buckley, Stephen M. and Koskela, Pekka (1999) On the fusion problem for degenerate elliptic equations II. Commentationes Mathematicae Universitatis Carolinae, 40 (1). pp. 1-6. ISSN 1213-7243

[img] Download (193kB)
Official URL: http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucem...

Share your research

Twitter Facebook LinkedIn GooglePlus Email more...

Add this article to your Mendeley library


Let F be a relatively closed subset of a Euclidean domain Ω. We investigate when solutions u to certain elliptic equations on Ω/F are restrictions of solutions on all of Ω. Specifically, we show that if ∂F is not too large, and u has a suitable decay rate near F, then u can be so extended.

Item Type: Article
Keywords: A-harmonic function, Hausdorff measure, Fusion problem.
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1621
Depositing User: Prof. Stephen Buckley
Date Deposited: 02 Nov 2009 10:07
Journal or Publication Title: Commentationes Mathematicae Universitatis Carolinae
Publisher: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
Refereed: Yes

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...