Sharp remainder terms of Hardy-Sobolev inequalities
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概要
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In this paper we shall prove the existence of sharp remainder terms involving singular weight (logR/|x|)-2 for Hardy-Sobolev inequalities of the following type:∫Ω|∇u(x)|2dx≥(n-2/2)2∫Ω|u(x)|2/|(x)|2dx for any u∈W1, 20(Ω), Ω is a bounded domain in Rn, n>2, with 0∈Ω. Here the number of remainder terms depends on the choice of R.
- Faculty of Science, Ibaraki Universityの論文
著者
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Horiuchi Toshio
Department Of Instrumentation Engineering Faculty Of Science And Techonology Keio University
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Ando Hiroshi
Department Of Environmental Health And Toxicology Tokyo Metropolitan Institute Of Public Health
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HORIUCHI TOSHIO
Department of Mathematical Sciences, Ibaraki University
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ANDO HIROSHI
Department of Mathematical Sciences, Ibaraki University
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ALNAR DETALLA
Deepartment of Mathematics, College of Arts and Sciences, Central Mindanao University
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DETALLA ALNAR
Deepartment of Mathematics, College of Arts and Sciences, Central Mindanao University
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