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Volumn 7, Issue SUPPL. 11 part 1, 1997, Pages 163-172

Comparison Theorems Via Symmetrization: Revisited

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EID: 0347799676     PISSN: 03924033     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (3)

References (17)
  • 2
    • 84972514673 scopus 로고
    • Comparison results for elliptic and parabolic equations via symmetrization. A new approach
    • A. ALVINO - P. L. LIONS - G. TROMBETTI, Comparison results for elliptic and parabolic equations via symmetrization. A new approach, Differential Integral Equations, 4 (1991), 25-50.
    • (1991) Differential Integral Equations , vol.4 , pp. 25-50
    • Alvino, A.1    Lions, P.L.2    Trombetti, G.3
  • 4
    • 0242716112 scopus 로고
    • Bounds for solutions of boundary value problems
    • C. BANDLE, Bounds for solutions of boundary value problems, Math. Anal. Appl., 54 (1975), 707-716.
    • (1975) Math. Anal. Appl. , vol.54 , pp. 707-716
    • Bandle, C.1
  • 5
    • 0016599235 scopus 로고
    • Existence theorems, qualitative and a priori bounds for a class of non-linear Dirichlet problems
    • C. BANDLE, Existence theorems, qualitative and a priori bounds for a class of non-linear Dirichlet problems, Arch. Rational Mech. Anal., 52 (1975), 219-238.
    • (1975) Arch. Rational Mech. Anal. , vol.52 , pp. 219-238
    • Bandle, C.1
  • 6
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • J. E. BROTHERS - W. P. ZIEMER, Minimal rearrangements of Sobolev functions, J. Reine Angew. Math., 384 (1988), 153-179.
    • (1988) J. Reine Angew. Math. , vol.384 , pp. 153-179
    • Brothers, J.E.1    Ziemer, W.P.2
  • 9
    • 84974325308 scopus 로고
    • On a comparison theorem via symmetrization
    • S. KESAVAN, On a comparison theorem via symmetrization, Proc. Roy. Soc. Edinburgh Sect. A, 119 (1991), 159-167.
    • (1991) Proc. Roy. Soc. Edinburgh Sect. A , vol.119 , pp. 159-167
    • Kesavan, S.1
  • 11
    • 84916181784 scopus 로고
    • Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
    • E. H. LIEB, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Studies Appl. Math., 57 (1977), 93-105.
    • (1977) Studies Appl. Math. , vol.57 , pp. 93-105
    • Lieb, E.H.1
  • 12
    • 23544461038 scopus 로고
    • Quelques remarques sur la symétrisation de Schwarz
    • Nonlin. PDE and their appl., College de France Seminar., Vol. 1 (H. Brézis and J. L. Lions Eds.)
    • P. L. LIONS, Quelques remarques sur la symétrisation de Schwarz, in Nonlin. PDE and their appl., College de France Seminar., Vol. 1 (H. Brézis and J. L. Lions Eds.), Pitman Res. Notes Math. Ser., 53(1981), 308-319.
    • (1981) Pitman Res. Notes Math. Ser. , vol.1-53 , pp. 308-319
    • Lions, P.L.1
  • 14
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • J. SERRIN, A symmetry problem in potential theory, Arch. Rational Mech. Anal., 43 (1971), 304-318.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 304-318
    • Serrin, J.1
  • 15
    • 0000253928 scopus 로고
    • Elliptic equations and rearrangements
    • G. TALENTI, Elliptic equations and rearrangements, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4 (1976), 697-718.
    • (1976) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.4 , Issue.4 , pp. 697-718
    • Talenti, G.1
  • 16
    • 0002716049 scopus 로고
    • Symmetrization in uniformly elliptic problems
    • Stanford Univ. Press
    • H. F. WEINBERGER, Symmetrization in uniformly elliptic problems, in Studies in Math. Anal., Stanford Univ. Press, 1962.
    • (1962) Studies in Math. Anal.
    • Weinberger, H.F.1
  • 17
    • 0001581915 scopus 로고
    • Remark on the preceeding paper of Serrin
    • H. F. WEINBERGER, Remark on the preceeding paper of Serrin, Arch. Rational Mech. Anal., 43 (1971), 319-320.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 319-320
    • Weinberger, H.F.1


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