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On the stability of Sobolev spaces with zero boundary values
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden Univ Jyvaskyla, Dept Math, FIN-40351 Jyvaskyla, Finland.
1999 (English)In: Mathematica Scandinavica, ISSN 0025-5521, Vol. 85, no 2, 245-258 p.Article in journal (Refereed) Published
Abstract [en]

In this note we characterize the open sets Omega for which W-1.p (Omega) boolean AND (q>p)boolean AND W-0(1,q) (Omega) = W-0(1.p) (Omega). We apply our result to establish the stability of the first eigenvalues of the p-laplacians with varying p.

Place, publisher, year, edition, pages
1999. Vol. 85, no 2, 245-258 p.
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Engineering and Technology
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URN: urn:nbn:se:liu:diva-49859OAI: oai:DiVA.org:liu-49859DiVA: diva2:270755
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-14

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Hedberg, Lars Inge

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