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Volumn 180, Issue , 1996, Pages 15-41

On weighted Poincaré inequalities

Author keywords

Isoperimetric function; Poincar inequalities; Rearrangements; Weights

Indexed keywords


EID: 0039272310     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.3211800103     Document Type: Article
Times cited : (32)

References (22)
  • 1
    • 0003357801 scopus 로고
    • Interpolation of operators
    • Academic Press, Boston
    • BENNETT, C., and SHARPLEY, R.: Interpolation of Operators, Pure and Appl. Math. Vol. 129, Academic Press, Boston, 1988
    • (1988) Pure and Appl. Math. , vol.129
    • Bennett, C.1    Sharpley, R.2
  • 2
    • 0039775682 scopus 로고
    • On relative isoperimetric inequalities in the plane
    • CIANCHI, A.: On Relative Isoperimetric Inequalities in the Plane, Boll. Un. Mat. Ital. 7, 3-B (1989), 289-325
    • (1989) Boll. Un. Mat. Ital. , vol.7 , Issue.3 B , pp. 289-325
    • Cianchi, A.1
  • 3
    • 0001644136 scopus 로고
    • A sharp form of poincaré type inequalities on balls and spheres
    • CIANCHI A.: A Sharp Form of Poincaré Type Inequalities on Balls and Spheres, Journal of Appl. Math. and Physics (ZAMP) 40 (1989), 558-569
    • (1989) Journal of Appl. Math. and Physics (ZAMP) , vol.40 , pp. 558-569
    • Cianchi, A.1
  • 6
    • 0040961900 scopus 로고
    • Weighted poincaré and friedrichs inequalities
    • EDMUNDS, D.E., and OPIC, B.: Weighted Poincaré and Friedrichs Inequalities, J. London Math. Soc. (2), 47 (1993), 79-96
    • (1993) J. London Math. Soc. , vol.47 , Issue.2 , pp. 79-96
    • Edmunds, D.E.1    Opic, B.2
  • 7
    • 0003035995 scopus 로고
    • The local regularity of solutions of degenerate elliptic equations
    • FABES, E. B., KENIG, C. E., and SERAPIONI, R. P.: The Local Regularity of Solutions of Degenerate Elliptic Equations, Comm. in Part. Diff. Eq. 7 (1) (1982), 77-116
    • (1982) Comm. in Part. Diff. Eq. , vol.7 , Issue.1 , pp. 77-116
    • Fabes, E.B.1    Kenig, C.E.2    Serapioni, R.P.3
  • 9
    • 0002253992 scopus 로고
    • Inégalités isopérimétriques et analitiques sur les variétés riemanniennes
    • GALLOT, S.: Inégalités Isopérimétriques et Analitiques sur les Variétés Riemanniennes, Asterisque 163-164 (1988), 5-6, 31-91, 281 (1989)
    • (1988) Asterisque , vol.163-164 , pp. 5-6
    • Gallot, S.1
  • 10
    • 0040367805 scopus 로고
    • Continuous and compact imbeddings of weighted sobolev spaces III
    • GURKA, P., and OPIC, B.: Continuous and Compact Imbeddings of Weighted Sobolev Spaces III, Czechoslovak Math. J. 41 (1991), 317-341
    • (1991) Czechoslovak Math. J. , vol.41 , pp. 317-341
    • Gurka, P.1    Opic, B.2
  • 12
    • 0012276295 scopus 로고
    • The imbedding theorem for weighted sobolev spaces
    • HORIUCHI, T.: The Imbedding Theorem for Weighted Sobolev Spaces, J. of Math. of Kyoto Univ. 29 (1989), 365-403
    • (1989) J. of Math. of Kyoto Univ. , vol.29 , pp. 365-403
    • Horiuchi, T.1
  • 14
    • 0003308263 scopus 로고
    • Hardy type inequalities
    • Longman Scientific and Technical, Harlow
    • KUFNER, A., and OPIC, B.: Hardy Type Inequalities, Pitman Research Notes in Math. 219, Longman Scientific and Technical, Harlow, 1990
    • (1990) Pitman Research Notes in Math. , vol.219
    • Kufner, A.1    Opic, B.2
  • 16
    • 84968466800 scopus 로고
    • Weighted norm inequalities for fractional integrals
    • MUCKENHOUPT, B., and WHEEDEN, R.: Weighted Norm Inequalities for Fractional Integrals, Trans. Amer. Math. Soc. 192 (1974), 261-274
    • (1974) Trans. Amer. Math. Soc. , vol.192 , pp. 261-274
    • Muckenhoupt, B.1    Wheeden, R.2
  • 17
    • 0002465923 scopus 로고
    • Boundary value problems for some degenerate elliptic operators
    • MURTHY, M. K. V., and STAMPACCHIA, G.: Boundary Value Problems for Some Degenerate Elliptic Operators, Ann. Mat. Pura Appl. 80 (1968), 1-122
    • (1968) Ann. Mat. Pura Appl. , vol.80 , pp. 1-122
    • Murthy, M.K.V.1    Stampacchia, G.2
  • 18
    • 84972495996 scopus 로고
    • Convolution operators and L(p,q) spaces
    • O'NEIL, R.: Convolution Operators and L(p,q) Spaces, Duke Math. J. 30 (1963), 129-142
    • (1963) Duke Math. J. , vol.30 , pp. 129-142
    • O'Neil, R.1
  • 19
    • 0000439959 scopus 로고
    • Boundedness of classical operators on classical lorentz spaces
    • SAWYER, E. T.: Boundedness of Classical Operators on Classical Lorentz Spaces, Studia Math. 96 (1990), 145-158
    • (1990) Studia Math. , vol.96 , pp. 145-158
    • Sawyer, E.T.1
  • 20
    • 0000253928 scopus 로고
    • Elliptic equations and rearrangements
    • TALENTI, G.: Elliptic Equations and Rearrangements, Ann. Sc. Norm. Sup. Pisa (4) 3 (1976), 697-718
    • (1976) Ann. Sc. Norm. Sup. Pisa , vol.3 , Issue.4 , pp. 697-718
    • Talenti, G.1
  • 21
    • 0040367809 scopus 로고
    • An inequality between u* and |gradu|*
    • Birkhäuser Verlag, Basel
    • TALENTI, G.: An Inequality between u* and |gradu|* , in International Series of Numerical Analysis, 103, Birkhäuser Verlag, Basel, 1992
    • (1992) International Series of Numerical Analysis , vol.103
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.