Title of article
Inequalities associated with magnetic fields
Author/Authors
Bennewitz، نويسنده , , C. and Evans، نويسنده , , W.D.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
14
From page
59
To page
72
Abstract
Hardy and Sobolev-type inequalities in Lp(Rn),1<p<∞,n⩾2, associated with magnetic fields, are discussed, with particular emphasis on the sharpness, or otherwise, of constants. Similar inequalities in the case p=2,n=2 for Aharonov–Bohm-type magnetic fields have already been determined by Laptev/Weidl and Balinsky/Evans/Lewis.
Keywords
magnetic Fields , Sharp constants , Extremals , Inequalities of Hardy , Sobolev and Laptev/Weidl
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552694
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