1 N ov 2 00 5 On existence of minimizers for the Hardy - Sobolev - Maz ’ ya inequality
نویسنده
چکیده
We show existence of minimizers for the Hardy-Sobolev-Maz’ya inequality in Rm+n \ Rn when either m > 2, n ≥ 1 or m = 1, n ≥ 3. The authors expresses their gratitude to the faculties of mathematics departments at Technion Haifa Institute of Technology, at the University of Crete and of the University of Cyprus for their hospitality. A.T. acknowledges partial support by the RTN European network Fronts–Singularities, HPRN-CT-200200274. K.T acknowledges support as a Lady Davis Visiting Professor at Technion and partial support from University of Crete, University of Cyprus and Swedish Research Council. Mathematics Subject Classifications: 35J65, 35J20, 35J70.
منابع مشابه
m at h . A P ] 2 4 A ug 2 00 5 Minimizers for the Hardy - Sobolev - Maz ’ ya inequality
We show existence of minimizers for the Hardy-Sobolev-Maz’ya inequality in Rm+n \ Rn when either m > 2, n ≥ 1 or m = 1, n ≥ 3. The authors expresses their gratitude to the faculties of mathematics department at Technion Haifa Institute of Technology and of the University of Cyprus for their hospitality. A.T. acknowledges partial support by the RTN European network Fronts–Singularities, HPRN-CT-...
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