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Volumn 182, Issue 1, 2006, Pages 153-180

L∞ variational problems and Aronsson equations

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EID: 33746239114     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-006-0424-7     Document Type: Article
Times cited : (35)

References (16)
  • 1
    • 0011112875 scopus 로고
    • xF(x, f(x), f′(x))
    • xF(x, f(x), f′(x)). Ark. Mat. 6, 33-53 (1965)
    • (1965) Ark. Mat. , vol.6 , pp. 33-53
    • Aronsson, G.1
  • 2
    • 84950356703 scopus 로고
    • xF(x, f(x), f′(x)). II
    • xF(x, f(x), f′(x)). II. Ark. Mat. 6, 409-431 (1966)
    • (1966) Ark. Mat. , vol.6 , pp. 409-431
    • Aronsson, G.1
  • 3
    • 0001457134 scopus 로고
    • Extension of functions satisfying Lipschitz conditions
    • ARONSSON G.: Extension of functions satisfying Lipschitz conditions. Ark. Mat. 6, 551-561 (1967)
    • (1967) Ark. Mat. , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 4
    • 0040322556 scopus 로고
    • xF(x, f(x), f′(x)). III
    • xF(x, f(x), f′(x)). III. Ark. Mat. 7, 509-512 (1969)
    • (1969) Ark. Mat. , vol.7 , pp. 509-512
    • Aronsson, G.1
  • 7
    • 0038170019 scopus 로고    scopus 로고
    • An efficient derivation of the Arronson equation
    • CRANDALL M.G.: An efficient derivation of the Arronson equation. Arch. Ration. Mech. Anal. 167, 271-279 (2003)
    • (2003) Arch. Ration. Mech. Anal. , vol.167 , pp. 271-279
    • Crandall, M.G.1
  • 10
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • CRANDALL M.G., ISHII H., LIONS P.L.: User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. 27, 1-67 (1992)
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 11
    • 33746199998 scopus 로고    scopus 로고
    • Generalized cone comparison, aronsson equation, and absolute minimizers
    • To appear in
    • GARIEPY R., WANG C., YU Y.: Generalized cone comparison, aronsson equation, and absolute minimizers. To appear in Comm. Partial Differential Equations
    • Comm. Partial Differential Equations
    • Gariepy, R.1    Wang, C.2    Yu, Y.3
  • 12
    • 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. Ration. Mech. Anal. 123, 51-74 (1993)
    • (1993) Arch. Ration. Mech. Anal. , vol.123 , pp. 51-74
    • Jensen, R.1
  • 13
    • 0009977488 scopus 로고    scopus 로고
    • Minimization problems for Lipschitz functions via viscosity solutions
    • Academiae Scientiarum Fennicae
    • JUUTINEN P.: Minimization problems for Lipschitz functions via viscosity solutions. Academiae Scientiarum Fennicae, Mathematica Dissertations 115, (1998)
    • (1998) Mathematica Dissertations , vol.115
    • Juutinen, P.1
  • 14
    • 0003292086 scopus 로고
    • Generalized solutions of Hamilton-Jacobi equations
    • Pitman. Boston
    • LIONS P.L.: Generalized solutions of Hamilton-Jacobi equations. Res Notes Math 69, Pitman. Boston, 1982
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    • Lions, P.L.1


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