메뉴 건너뛰기




Volumn 43, Issue 1, 1997, Pages 121-133

A weighted version of a rearrangement inequality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038584467     PISSN: 04303202     EISSN: 18271510     Source Type: Journal    
DOI: 10.1007/BF02837230     Document Type: Article
Times cited : (65)

References (27)
  • 2
    • 0001639899 scopus 로고
    • The Brunn-Minkowski inequality in Gauss space
    • [Bo]C. Borell, The Brunn-Minkowski inequality in Gauss space, Inventiones Math., 30 (1975), pp. 207-211.
    • (1975) Inventiones Math. , vol.30 , pp. 207-211
    • Borell, C.1
  • 3
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • [BZ]J. Brothers-W. Ziemer, Minimal rearrangements of Sobolev functions, J. Reine Angew. Math., 384 (1988), pp. 153-179.
    • (1988) J. Reine Angew. Math. , vol.384 , pp. 153-179
    • Brothers, J.1    Ziemer, W.2
  • 5
    • 0000413834 scopus 로고
    • Inéligalités isopérimetriques et intégrales de Dirichlet gaussiennes
    • [Eh]A. Ehrhard, Inéligalités isopérimetriques et intégrales de Dirichlet gaussiennes, Ann. Sci. Ecole Norm. Sup., 17 (1984), pp. 317-332.
    • (1984) Ann. Sci. Ecole Norm. Sup. , vol.17 , pp. 317-332
    • Ehrhard, A.1
  • 8
    • 0000495244 scopus 로고
    • Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
    • [Hil]K. Hilden, Symmetrization of functions in Sobolev spaces and the isoperimetric inequality, Manuscripta Math., 18 (1976), pp. 215-235.
    • (1976) Manuscripta Math. , vol.18 , pp. 215-235
    • Hilden, K.1
  • 9
    • 0003269816 scopus 로고
    • Rearrangements and convexity of level sets in PDE
    • Springer-Verlag
    • [Ka]B. Kawohl, Rearrangements and convexity of level sets in PDE, Lecture Notes in Math., vol. 1150, Springer-Verlag (1985).
    • (1985) Lecture Notes in Math , vol.1150
    • Kawohl, B.1
  • 10
    • 33847276069 scopus 로고
    • Rearrangements of functions and embedding theorems
    • [Ko]V. I. Kolyada, Rearrangements of functions and embedding theorems, Russian Math. Surveys, 44: 5 (1989), pp. 73-117.
    • (1989) Russian Math. Surveys , vol.44 , Issue.5 , pp. 73-117
    • Kolyada, V.I.1
  • 11
    • 84916181784 scopus 로고
    • Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
    • [Lb1]E. H. Lieb, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Stud. Appl. Math., 57 (1977), pp. 93-105.
    • (1977) Stud. Appl. Math. , vol.57 , pp. 93-105
    • Lieb, E.H.1
  • 12
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • [Lb2]E. H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. of Math., 118 (1983), pp. 349-374.
    • (1983) Ann. Of Math. , vol.118 , pp. 349-374
    • Lieb, E.H.1
  • 13
    • 79960829031 scopus 로고    scopus 로고
    • Analysis, Graduate Studies in Mathematics
    • [LL]E. H. Lieb-M. Loss, Analysis, Graduate Studies in Mathematics, 14, Amer. Math. Soc. (1997).
    • (1997) Amer. Math. Soc. , vol.14
    • Lieb, E.H.1    Loss, M.2
  • 14
    • 50249147993 scopus 로고
    • Sharp estimates for solutions to certain type of singular elliptic boundary value problems in two dimensions
    • [MS]C. Maderna-S. Salsa, Sharp estimates for solutions to certain type of singular elliptic boundary value problems in two dimensions, Applicable Anal., 12 (1981), pp. 307-321.
    • (1981) Applicable Anal. , vol.12 , pp. 307-321
    • Maderna, C.1    Salsa, S.2
  • 15
    • 0347349385 scopus 로고
    • On functions whose curves of steepest descent are straight lines
    • [Ma]R. Magnanini, On functions whose curves of steepest descent are straight lines, Applicable Anal., 41 (1991), pp. 171-182.
    • (1991) Applicable Anal. , vol.41 , pp. 171-182
    • Magnanini, R.1
  • 17
    • 0001173833 scopus 로고
    • A sharp form of an inequality by N. Trudinger
    • [Ms]J. Moser, A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J., 20 (1971), pp. 1077-1092.
    • (1971) Indiana Univ. Math. J. , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 18
    • 0000190919 scopus 로고
    • The isoperimetric inequality
    • [Oss]R. Osserman, The isoperimetric inequality, Bull. amer. Math. Soc., 84 (1978), pp. 1182-1238.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 1182-1238
    • Osserman, R.1
  • 20
    • 0000866786 scopus 로고
    • Zur Symmetrisierung für Funktionen auf Sphären
    • [Sp1]E. Sperner, Zur Symmetrisierung für Funktionen auf Sphären, Math. Z., 134 (1973), pp. 317-327.
    • (1973) Math. Z. , vol.134 , pp. 317-327
    • Sperner, E.1
  • 21
    • 0000826553 scopus 로고
    • Symmetrisierung für Funktionen mehrerer reeller Variablen
    • [Sp2]E. Sperner, Symmetrisierung für Funktionen mehrerer reeller Variablen, Manuscripta Math., 11 (1974), pp. 159-170.
    • (1974) Manuscripta Math. , vol.11 , pp. 159-170
    • Sperner, E.1
  • 22
    • 0039174829 scopus 로고
    • Über die Symmetrisierung stetiger Funktionen im Euklidischen Raum
    • [Spi]W. Spiegel,Über die Symmetrisierung stetiger Funktionen im Euklidischen Raum, Arch. Math., 24 (1973), pp. 545-551.
    • (1973) Arch. Math. , vol.24 , pp. 545-551
    • Spiegel, W.1
  • 23
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • [Ta1]G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl. (4), 110 (1976), pp. 353-372.
    • (1976) Ann. Mat. Pura Appl. , vol.110 , Issue.4 , pp. 353-372
    • Talenti, G.1
  • 26
    • 0039985113 scopus 로고
    • Inequalities in rearrangement invariant function spaces
    • M. Krbec, A. Kufner, B. Opic, and J. Rakosnik (Eds.), Prague: Prometheus Publishing House
    • [Ta4]G. Talenti, Inequalities in rearrangement invariant function spaces, inNonlinear Analysis, Function Spaces and Applications, 5 (M. Krbec-A. Kufner- B. Opic-J. Rakosnik, editors), Prometheus Publishing House, Prague (1994), pp. 177-231.
    • (1994) Nonlinear Analysis, Function Spaces and Applications, 5 , pp. 177-231
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.