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Volumn 16, Issue 1, 2000, Pages 17-28

Superharmonicity of nonlinear ground states

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EID: 0034381312     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/269     Document Type: Article
Times cited : (13)

References (12)
  • 1
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    • Extension of functions satisfying Lipschitz conditions
    • Aronsson, G., Extension of functions satisfying Lipschitz conditions. Arkiv för Matematik 6 (1967), 551-561.
    • (1967) Arkiv för Matematik , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 3
    • 49549132663 scopus 로고
    • On extension of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
    • Brascamp, H., Lieb, E., On extension of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal. 22 (1976), 366-389.
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.1    Lieb, E.2
  • 4
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    • Fully nonlinear elliptic equations
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    • Caffarelli, L., Cabré, X., Fully Nonlinear Elliptic Equations. Colloquium Publications 43, American Mathematical Society, 1995.
    • (1995) Colloquium Publications , vol.43
    • Caffarelli, L.1    Cabré, X.2
  • 5
    • 0001940777 scopus 로고    scopus 로고
    • Viscosity solutions: A primer
    • Springer
    • Crandall, M., Viscosity solutions: A primer. Lecture Notes in Math. 1660, Springer, 1997, 1-43.
    • (1997) Lecture Notes in Math. , vol.1660 , pp. 1-43
    • Crandall, M.1
  • 6
    • 0000903064 scopus 로고
    • Über konvexe funktionen mit vorgeschriebenen niveaumannigfaltigkeiten
    • Fenchel, W., Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten. Math. Z. 63 (1956), 496-506.
    • (1956) Math. Z. , vol.63 , pp. 496-506
    • Fenchel, W.1
  • 7
    • 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), 341-360.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 341-360
    • Janfalk, U.1
  • 8
    • 21144476154 scopus 로고
    • Uniqueness of Lipschitz extensions - Minimizing the sup norm of the gradient
    • Jensen, R., Uniqueness of Lipschitz extensions - Minimizing the sup norm of the gradient. Arch. Rational Mech. Anal. 123 (1993), 51-74.
    • (1993) Arch. Rational Mech. Anal. , vol.123 , pp. 51-74
    • Jensen, R.1
  • 10
    • 0000628287 scopus 로고    scopus 로고
    • Capacitary functions in convex rings
    • Lewis, J., Capacitary functions in convex rings. Arch. Rational Mech. Anal. 66 (1997), 201-224.
    • (1997) Arch. Rational Mech. Anal. , vol.66 , pp. 201-224
    • Lewis, J.1
  • 11
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    • On non-linear Rayleigh quotients
    • Lindqvist, P., On non-linear Rayleigh quotients. Potential Anal. 2 (1993), 199-218.
    • (1993) Potential Anal. , vol.2 , pp. 199-218
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