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Volumn 2002, Issue , 2002, Pages

On the properties of ∞-harmonic functions and an application to capacitary convex rings

Author keywords

laplacian; Boundary harnack inequality; Capacitary functions; Convex rings; Viscosity solutions

Indexed keywords


EID: 52449090842     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (35)
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  • 6
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    • Positive solutions of elliptic equations in nondivergence form and their adjoints
    • Bauman, P., Positive solutions of elliptic equations in nondivergence form and their adjoints, Arkïv för Matematik 22 No.2 (1984), 153-173.
    • (1984) Arkïv för Matematik , vol.22 , Issue.2 , pp. 153-173
    • Bauman, P.1
  • 7
    • 0033247049 scopus 로고    scopus 로고
    • On the strong maximum principle for fully nonlinear degenerate elliptic equations
    • Bardi, M. and Da Lio, F., On the strong maximum principle for fully nonlinear degenerate elliptic equations, Archiv der Mathematik, 73 (1999), 276-285.
    • (1999) Archiv der Mathematik , vol.73 , pp. 276-285
    • Bardi, M.1    Da Lio, F.2
  • 10
    • 84972581369 scopus 로고
    • Convexity of solutions of semilinear elliptic equations
    • Caffarelli, L. and Friedman, A., Convexity of solutions of semilinear elliptic equations, Duke Mathematical Journal, Vol 52, No.2, 1985, 431-456.
    • (1985) Duke Mathematical Journal , vol.52 , Issue.2 , pp. 431-456
    • Caffarelli, L.1    Friedman, A.2
  • 18
    • 0001179653 scopus 로고    scopus 로고
    • Behaviour in the limit, as p ∞ ∞, of minimizers of functionals involving p-Dirichlet integrals
    • Janfalk, U., Behaviour in the limit, as p ∞ ∞, of minimizers of functionals involving p-Dirichlet integrals, Siam J. Math. Anal., 27 (1996), no 2, 341-360.
    • (1996) Siam J. Math. Anal. , vol.27 , Issue.2 , pp. 341-360
    • Janfalk, U.1
  • 28
    • 0002072314 scopus 로고
    • On the definition and the properties of p-superharmonic functions
    • Lindqvist, P., On the definition and the properties of p-superharmonic functions, J. Reine Angew. Math. 365 (1986), 67- 79.
    • (1986) J. Reine Angew. Math. , vol.365 , pp. 67-79
    • Lindqvist, P.1
  • 29
    • 0002408881 scopus 로고
    • The Harnack Inequality for oo-harmonic functions
    • Lindqvist, P. and Manfredi, J. J., The Harnack Inequality for oo-harmonic functions, Electronic J. Diff. Equations, 1995 (1995), No. 4, 1-5.
    • (1995) Electronic J. Diff. Equations , vol.1995 , Issue.4 , pp. 1-5
    • Lindqvist, P.1    Manfredi, J.J.2
  • 30
    • 0011090218 scopus 로고    scopus 로고
    • Note on oo-superharmonic functions, Revista Matematica de la Univ
    • Lindqvist, P. and Manfredi, J., Note on oo-superharmonic functions, Revista Matematica de la Univ. Complutense De Madrid 10 (2) 1997, 1-9.
    • (1997) Complutense de Madrid , vol.10 , Issue.2 , pp. 1-9
    • Lindqvist, P.1    Manfredi, J.2
  • 35
    • 0000559302 scopus 로고
    • Concavity Properties of Solutions to Some Degenerate Quasilinear Elliptic Dirichlet Problems
    • Classe de Scienze
    • Sakaguchi, S., Concavity Properties of Solutions to Some Degenerate Quasilinear Elliptic Dirichlet Problems, Annali della Scuola Normale Superiore de Pisa, Serie IV, Classe de Scienze 14 (1987), 403-421.
    • (1987) Annali della Scuola Normale Superiore de Pisa, Serie IV , vol.14 , pp. 403-421
    • Sakaguchi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.