메뉴 건너뛰기




Volumn 93, Issue 2, 2009, Pages 181-190

Explicit approximation of the symmetric rearrangement by polarizations

Author keywords

Approximation of symmetrization; Foliated Schwarz symmetrization; P lya Szego inequality; Polarization; Schwarz symmetrization; Spherical cap rearrangement; Steiner symmetrization; Symmetric rearrangement; Two point rearrangement

Indexed keywords


EID: 70349652311     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-009-0018-3     Document Type: Article
Times cited : (37)

References (19)
  • 1
    • 0002572462 scopus 로고
    • A unified approach to symmetrization, Partial differential equations of elliptic type (Cortona, 1992)
    • XXXV, Cambridge University Press, Cambridge
    • A. Baernstein, II, A unified approach to symmetrization, Partial differential equations of elliptic type (Cortona, 1992), Sympos. Math., XXXV, Cambridge University Press, Cambridge, 1994, pp. 47-91
    • (1994) Sympos. Math. , pp. 47-91
    • Baernstein II, A.1
  • 2
    • 0001378271 scopus 로고
    • A general rearrangement inequality for multiple integrals
    • 0286.26005 10.1016/0022-1236(74)90013-5 346109
    • H.J. Brascamp E.H. Lieb J.M. Luttinger 1974 A general rearrangement inequality for multiple integrals J. Funct. Anal. 17 227 237 0286.26005 10.1016/0022-1236(74)90013-5 346109
    • (1974) J. Funct. Anal. , vol.17 , pp. 227-237
    • Brascamp, H.J.1    Lieb, E.H.2    Luttinger, J.M.3
  • 3
    • 23044519317 scopus 로고    scopus 로고
    • An approach to symmetrization via polarization
    • 0965.49001 10.1090/S0002-9947-99-02558-1 1695019
    • F. Brock A.Y. Solynin 2000 An approach to symmetrization via polarization Trans. Amer. Math. Soc. 352 1759 1796 0965.49001 10.1090/S0002-9947-99-02558-1 1695019
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 1759-1796
    • Brock, F.1    Solynin, A.Y.2
  • 4
    • 84966243152 scopus 로고
    • Some relations between nonexpansive and order preserving mappings
    • 0449.47059 10.2307/2042330 553381
    • M.G. Crandall L. Tartar 1980 Some relations between nonexpansive and order preserving mappings Proc. Amer. Math. Soc. 78 385 390 0449.47059 10.2307/2042330 553381
    • (1980) Proc. Amer. Math. Soc. , vol.78 , pp. 385-390
    • Crandall, M.G.1    Tartar, L.2
  • 6
    • 0013508356 scopus 로고
    • Transformation of functions and the Dirichlet principle
    • V. N. Dubinin, Transformation of functions and the Dirichlet principle, Mat. Zametki 38 (1985), 49-55, 169.
    • (1985) Mat. Zametki , vol.169 , Issue.38 , pp. 49-55
    • Dubinin, V.N.1
  • 7
    • 0041521602 scopus 로고
    • Transformation of condensers in space
    • V.N. Dubinin 1987 Transformation of condensers in space Dokl. Akad. Nauk SSSR 296 18 20
    • (1987) Dokl. Akad. Nauk SSSR , vol.296 , pp. 18-20
    • Dubinin, V.N.1
  • 8
    • 70349652338 scopus 로고
    • Transformations of condensers in an n-dimensional space
    • V. N. Dubinin, Transformations of condensers in an n-dimensional space, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 196 (1991), Modul. Funktsii Kvadrat. Formy. 2, 41-60, 173.
    • (1991) Modul. Funktsii Kvadrat. Formy. , vol.196 , Issue.2 , pp. 41-60
    • Dubinin, V.N.1
  • 10
    • 0009188159 scopus 로고    scopus 로고
    • Discrete convolution-rearrangement inequalities and the Faber-Krahn inequality on regular trees
    • 0943.05056 10.1215/S0012-7094-98-09119-0 1604163
    • A.R. Pruss 1998 Discrete convolution-rearrangement inequalities and the Faber-Krahn inequality on regular trees Duke Math. J. 91 463 514 0943.05056 10.1215/S0012-7094-98-09119-0 1604163
    • (1998) Duke Math. J. , vol.91 , pp. 463-514
    • Pruss, A.R.1
  • 12
    • 0141685647 scopus 로고    scopus 로고
    • Partial symmetry and asymptotic behavior for some elliptic variational problems
    • DOI 10.1007/s00526-002-0180-y
    • D. Smets M. Willem 2003 Partial symmetry and asymptotic behavior for some elliptic variational problems Calc. Var. Partial Differential Equations 18 57 75 01993491 10.1007/s00526-002-0180-y 2001882 (Pubitemid 37155688)
    • (2003) Calculus of Variations and Partial Differential Equations , vol.18 , Issue.1 , pp. 57-75
    • Smets, D.1    Willem, M.2
  • 13
    • 0001582817 scopus 로고    scopus 로고
    • Polarization and functional inequalities
    • 0890.31004 1458141
    • A.Y. Solynin 1996 Polarization and functional inequalities Algebra i Analiz 8 148 185 0890.31004 1458141
    • (1996) Algebra i Analiz , vol.8 , pp. 148-185
    • Solynin, A.Y.1
  • 15
    • 31144443743 scopus 로고    scopus 로고
    • Universal approximation of symmetrizations by polarizations
    • DOI 10.1090/S0002-9939-05-08325-5, PII S0002993905083255
    • J. Van Schaftingen 2006 Universal approximation of symmetrizations by polarizations Proc. Amer. Math. Soc. 134 177 186 1093.26012 10.1090/S0002-9939- 05-08325-5 2170557 (Pubitemid 43132230)
    • (2006) Proceedings of the American Mathematical Society , vol.134 , Issue.1 , pp. 177-186
    • Van Schaftingen, J.1
  • 16
    • 33745684978 scopus 로고    scopus 로고
    • Anisotropic symmetrization
    • 1133.42038 10.1016/j.anihpc.2005.06.001 2245755
    • J. Van Schaftingen 2006 Anisotropic symmetrization Ann. Inst. H. Poincaré Anal. Non Linéaire 23 539 565 1133.42038 10.1016/j.anihpc.2005.06.001 2245755
    • (2006) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.23 , pp. 539-565
    • Van Schaftingen, J.1
  • 17
    • 43649102982 scopus 로고    scopus 로고
    • Approximation of symmetrizations and symmetry of critical points
    • 1110.28014 2262256
    • J. Van Schaftingen 2006 Approximation of symmetrizations and symmetry of critical points Topol. Methods Nonlinear Anal. 28 61 85 1110.28014 2262256
    • (2006) Topol. Methods Nonlinear Anal. , vol.28 , pp. 61-85
    • Van Schaftingen, J.1
  • 19
    • 0000357769 scopus 로고
    • Properties of conformal invariants
    • 0047.08001 10.2307/2372264 48585
    • V. Wolontis 1952 Properties of conformal invariants Amer. J. Math. 74 587 606 0047.08001 10.2307/2372264 48585
    • (1952) Amer. J. Math. , vol.74 , pp. 587-606
    • Wolontis, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.