Sökning: onr:"swepub:oai:DiVA.org:liu-20145" >
Pathological soluti...
Pathological solutions to elliptic problems in divergence form with continuous coefficients
-
- Jin, Tianling (författare)
- Rutgers State University
-
- Mazya, Vladimir (författare)
- Linköpings universitet,Tillämpad matematik,Tekniska högskolan
-
- Van Schaftingen, Jean (författare)
- Univ Catholique Louvain
-
(creator_code:org_t)
- Elsevier BV, 2009
- 2009
- Engelska.
-
Ingår i: COMPTES RENDUS MATHEMATIQUE. - : Elsevier BV. - 1631-073X. ; 347:13-14, s. 773-778
- Relaterad länk:
-
http://arxiv.org/pdf...
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- We construct a function u is an element of W-loc(1.1) (B(0, 1)) which is a solution to div(A del u) = 0 in the sense of distributions, where A is continuous and u is not an element of W-loc(1.p) (B(0, 1)) for p greater than 1. We also give a function u is an element of W-loc(1.1)(B(0, 1)) such that u is an element of W-loc(1.p) (B(0, 1)) for every p less than infinity, u satisfies div(A del u) = 0 with A continuous but u is not an element of W-loc(1.infinity) (B(0, 1)). This answers questions raised by H. Brezis (On a conjecture of J. Serrin, Rend. Lincei Mat. Appl. 19 (2008) 335-338).
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- MATHEMATICS
- MATEMATIK
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas