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Volumn 2001, Issue , 2001, Pages

An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions

Author keywords

Distance function; Harnack inequality; Infinite harmonic operator; Viscosity solutions

Indexed keywords


EID: 3042746513     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (14)
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  • 2
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    • (1989) Classe Se. Math. Fis. Nat. , pp. 15-68
    • Bhattacharya, T.1    Dibenedetto, E.2    Manfred, J.3
  • 3
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    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall, M. G., Ishii, H. and Lions, P. L., User's guide to viscosity solutions of second order partial differential equations, Bulletin of AMS, Vol 27, no 1, 1992.
    • (1992) Bulletin of AMS , vol.27 , Issue.1
    • Crandall, M.G.1    Ishii, H.2    Lions, L.P.3
  • 4
    • 85051744718 scopus 로고
    • Harnack inequalities for quasiminima of variational integrals, Analyse Nonlineaire
    • DiBenedetto, E. and Trudinger, N., Harnack inequalities for quasiminima of variational integrals, Analyse Nonlineaire, Ann. Inst. Henri Poincare' 1(1984), 295-308.
    • (1984) Ann. Inst. Henri Poincare' , vol.1 , pp. 295-308
    • DiBenedetto, E.1    Trudinger, N.2
  • 5
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    • Evans, L., Estimates for smooth absolutely minimizing Lipschitz extensions, Electronic Journal of Differential Equations Vol. 1993(1993), No. 3, 1-10.
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  • 6
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    • Jensen, R., Uniqueness of Lipschitz extensions: Minimizing the sup-norm of the gradient, Arch, for Rational Mechanics and Analysis 123(1993), 51-74.
    • (1993) Arch, for Rational Mechanics and Analysis , vol.123 , pp. 51-74
    • Jensen, R.1
  • 10
    • 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
  • 11
    • 0002408881 scopus 로고
    • The Harnack Inequality for oo-harmonic functions
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    • (1995) Electronic J. Diff. Equations , vol.1995 , Issue.4 , pp. 1-5
    • Lindqvist, P.1    Manfredi, J.2
  • 13
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    • A Lower Bound for the Gradient of Infinity-Harmonic Functions
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    • (1996) Electronic Journal of Differential Equations , vol.1996 , Issue.2 , pp. 1-12
    • Edi, R.1
  • 14
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    • Local behaviour of solutions of quasilinear equations
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    • Serrin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.