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Complex Variables and Elliptic Equations
An International Journal
Volume 56, 2011 - Issue 10-11: A tribute to Victor I. Burenkov; Guest Editors: Robert P. Gilbert, Massimo Lanza de Cristoforis and Alexander Pankov
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Original Articles

Brezis–Gallouet–Wainger type inequality for irregular domains†

Vladimir Maz'ya Department of Mathematical Sciences, University of Liverpool, M&O Building, Liverpool, L69 3BX, UK; Department of Mathematics, Linköping University, Linköping SE-58183, SwedenCorrespondence[email protected]
&
Tatyana Shaposhnikova Department of Mathematical Sciences, University of Liverpool, M&O Building, Liverpool, L69 3BX, UK
Pages 991-1002 | Received 21 Jul 2010, Accepted 01 Nov 2010, Published online: 26 Jul 2011
 
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Abstract

A Brezis–Gallouet–Wainger logarithmic interpolation-embedding inequality is proved for various classes of irregular domains, in particular, for power cusps and λ-John domains.

†Dedicated to Viktor Burenkov on the occasion of his 70th birthday.

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Notes

†Dedicated to Viktor Burenkov on the occasion of his 70th birthday.

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