On a family of weighted Hardy-Sobolev inequalities

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Speaker: 
Professor Zhi-Qiang Wang
Institution: 
Utah State University
Time: 
Tue, 02/10/2004 - 3:00pm
Location: 
MSTB 254

We discuss some recent work on a family of weighted
Hardy-Sobolev inequalities due to Caffarelli-Kohn-Nirenberg
(1984),
including symmetry property and symmetry breaking of extremal
functions,
improved Hardy inequalities, as well as bound state solutions to
the associated nonlinear PDEs.