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Volumn 245, Issue 6, 2008, Pages 1566-1583

On the stability of the Serrin problem

Author keywords

Overdetermined problems; Stability

Indexed keywords


EID: 47949108147     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2008.06.010     Document Type: Article
Times cited : (71)

References (15)
  • 1
    • 0141820098 scopus 로고    scopus 로고
    • Approximate radial symmetry for overdetermined boundary value problems
    • Aftalion A., Busca J., and Reichel W. Approximate radial symmetry for overdetermined boundary value problems. Adv. Differential Equations 4 6 (1999) 907-932
    • (1999) Adv. Differential Equations , vol.4 , Issue.6 , pp. 907-932
    • Aftalion, A.1    Busca, J.2    Reichel, W.3
  • 2
    • 13844311748 scopus 로고
    • On the method of moving planes and the sliding method
    • Berestycki H., and Nirenberg L. On the method of moving planes and the sliding method. Bol. Soc. Brasil. Mat. (N.S.) 22 1 (1991) 1-37
    • (1991) Bol. Soc. Brasil. Mat. (N.S.) , vol.22 , Issue.1 , pp. 1-37
    • Berestycki, H.1    Nirenberg, L.2
  • 3
    • 55049086828 scopus 로고    scopus 로고
    • B. Brandolini, C. Nitsch, P. Salani, C. Trombetti, Serrin type overdetermined problems: An alternative proof, Arch. Ration. Mech. Anal., doi: 10.1007/s00205-008-0119-3, in press
    • B. Brandolini, C. Nitsch, P. Salani, C. Trombetti, Serrin type overdetermined problems: An alternative proof, Arch. Ration. Mech. Anal., doi: 10.1007/s00205-008-0119-3, in press
  • 4
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas B., Ni W.M., and Nirenberg L. Symmetry and related properties via the maximum principle. Comm. Math. Phys. 68 3 (1979) 209-243
    • (1979) Comm. Math. Phys. , vol.68 , Issue.3 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 5
    • 0041625080 scopus 로고    scopus 로고
    • Elliptic Partial Differential Equations of Second Order
    • Springer-Verlag, Berlin reprint of the 1998 edition
    • Gilbarg D., and Trudinger N.S. Elliptic Partial Differential Equations of Second Order. Classics Math. (2001), Springer-Verlag, Berlin reprint of the 1998 edition
    • (2001) Classics Math.
    • Gilbarg, D.1    Trudinger, N.S.2
  • 6
    • 0002185606 scopus 로고
    • Inequalities
    • Cambridge University Press, Cambridge reprint of the 1952 edition
    • Hardy G.H., Littlewood J.E., and Pólya G. Inequalities. Cambridge Math. Lib. (1988), Cambridge University Press, Cambridge reprint of the 1952 edition
    • (1988) Cambridge Math. Lib.
    • Hardy, G.H.1    Littlewood, J.E.2    Pólya, G.3
  • 7
  • 8
    • 0002403465 scopus 로고
    • On the eigenfunctions of the equation Δ u + λ f (u) = 0
    • Pohožaev S.I. On the eigenfunctions of the equation Δ u + λ f (u) = 0. Dokl. Akad. Nauk SSSR 165 (1965) 36-39
    • (1965) Dokl. Akad. Nauk SSSR , vol.165 , pp. 36-39
    • Pohožaev, S.I.1
  • 9
    • 0001142604 scopus 로고
    • On the Hessian of a function and the curvatures of its graph
    • Reilly R.C. On the Hessian of a function and the curvatures of its graph. Michigan Math. J. 20 (1973) 373-383
    • (1973) Michigan Math. J. , vol.20 , pp. 373-383
    • Reilly, R.C.1
  • 10
    • 84988147914 scopus 로고
    • An approximate Gidas-Ni-Nirenberg theorem
    • Rosset E. An approximate Gidas-Ni-Nirenberg theorem. Math. Methods Appl. Sci. 17 13 (1994) 1045-1052
    • (1994) Math. Methods Appl. Sci. , vol.17 , Issue.13 , pp. 1045-1052
    • Rosset, E.1
  • 11
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • Serrin J. A symmetry problem in potential theory. Arch. Ration. Mech. Anal. 43 (1971) 304-318
    • (1971) Arch. Ration. Mech. Anal. , vol.43 , pp. 304-318
    • Serrin, J.1
  • 12
    • 0012690069 scopus 로고    scopus 로고
    • Variational Methods
    • Springer-Verlag, Berlin Applications to nonlinear partial differential equations and Hamiltonian systems
    • Struwe M. Variational Methods. Ergeb. Math. Grenzgeb. (3). third ed. (Results in Mathematics and Related Areas, 3rd Series, A Series of Modern Surveys in Mathematics) vol. 34 (2000), Springer-Verlag, Berlin Applications to nonlinear partial differential equations and Hamiltonian systems
    • (2000) Results in Mathematics and Related Areas, 3rd Series, A Series of Modern Surveys in Mathematics , vol.34
    • Struwe, M.1
  • 14
    • 0031286702 scopus 로고    scopus 로고
    • On new isoperimetric inequalities and symmetrization
    • Trudinger N.S. On new isoperimetric inequalities and symmetrization. J. Reine Angew. Math. 488 (1997) 203-220
    • (1997) J. Reine Angew. Math. , vol.488 , pp. 203-220
    • Trudinger, N.S.1
  • 15
    • 0001581915 scopus 로고
    • Remark on the preceding paper of Serrin
    • Weinberger H.F. Remark on the preceding paper of Serrin. Arch. Ration. Mech. Anal. 43 (1971) 319-320
    • (1971) Arch. Ration. Mech. Anal. , vol.43 , pp. 319-320
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.