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Volumn 361, Issue 1, 2009, Pages 103-124

Derivation of the Aronsson equation for C1 hamiltonians

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EID: 67649557278     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-08-04651-5     Document Type: Article
Times cited : (26)

References (22)
  • 1
    • 0011112875 scopus 로고
    • xF (x, f (x), f' (x))
    • MR0196551 33:4738
    • xF (x, f (x), f' (x)), Ark. Mat. 6 (1965), 33-53. MR0196551 (33:4738)
    • (1965) Ark. Mat , vol.6 , pp. 33-53
    • Aronsson, G.1
  • 2
    • 84950356703 scopus 로고
    • xF (x, f (x), f' (x)). II
    • MR0203541 34:3391
    • xF (x, f (x), f' (x)). II, Ark. Mat. 6 (1966), 409-431. MR0203541 (34:3391)
    • (1966) Ark. Mat , vol.6 , pp. 409-431
    • Aronsson, G.1
  • 3
    • 0001457134 scopus 로고
    • Extension of functions satisfying Lipschitz conditions
    • MR0217665 36:754
    • G. ARONSSON, Extension of functions satisfying Lipschitz conditions, Ark. Mat. 6 (1967), 551-561. MR0217665 (36:754)
    • (1967) Ark. Mat. , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 4
    • 0040322556 scopus 로고
    • xF (x, f (x), f' (x)). III
    • MR0240690 39:2035
    • xF (x, f (x), f' (x)). III, Ark. Mat. 7 (1969), 509-512. MR0240690 (39:2035)
    • (1969) Ark. Mat. , vol.7 , pp. 509-512
    • Aronsson, G.1
  • 5
    • 13844298388 scopus 로고    scopus 로고
    • A tour of the theory of absolutely minimizing functions
    • N. S., electronic. MR2083637 2005k:35159
    • G. ARONSSON, M. G. CRANDALL, P. JUUTINEN, A Tour of the Theory of Absolutely Minimizing Functions, Bull. Amer. Math. Soc. (N. S.) 41 (2004), no. 4, 439-505 (electronic). MR2083637 (2005k:35159)
    • (2004) Bull. Amer. Math. Soc. , vol.41 , Issue.4 , pp. 439-505
    • Aronsson, G.1    Crandall, M.G.2    Juutinen, P.3
  • 8
    • 34547176688 scopus 로고    scopus 로고
    • Principles of comparison with distance functions for absolute minimizers
    • MR2341302
    • CHAMPION, T., De PASCALE, L., Principles of comparison with distance functions for absolute minimizers, J. Convex Anal. 14 (2007), no 3, 515-541. MR2341302
    • (2007) J. Convex Anal. , vol.14 , Issue.3 , pp. 515-541
    • Champion, T.1    Pascale, L.2
  • 9
    • 0038170019 scopus 로고    scopus 로고
    • An efficient derivation of the Aronsson equation
    • MR1981858 2004b:35053
    • M. G. CRANDALL, An efficient derivation of the Aronsson equation, Arch. Ration. Mech. Anal. 167 (2003), no. 4, 271-279. MR1981858 (2004b:35053)
    • (2003) Arch. Ration. Mech. Anal. , vol.167 , Issue.4 , pp. 271-279
    • Crandall, M.G.1
  • 10
    • 35648958899 scopus 로고    scopus 로고
    • Calculus of Variations and Non- Linear Partial Differential Equations, C. I. M. E. Summer School, Cetraro, Lecture Notes in Math., Springer, Berlin
    • M. G. CRANDALL, A Visit with the ∞-Laplace Equation, in Calculus of Variations and Non- Linear Partial Differential Equations, (C. I. M. E. Summer School, Cetraro, 2005), Lecture Notes in Math., vol. 1927, Springer, Berlin, 2008.
    • (2005) A Visit with the ∞-Laplace Equation , vol.1927
    • Crandall, M.G.1
  • 14
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • MR1118699 92j:35050
    • M. G. CRANDALL, H. ISHII, P. L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. AMS 27 (1992), 1-67. MR1118699 (92j:35050)
    • (1992) Bull. AMS , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 16
    • 33747622601 scopus 로고    scopus 로고
    • Generalized cone comparison, aronsson equation, and absolute minimizers
    • MR2254602 2007h:35089
    • R. GARIEPY, C. WANG, Y. YU, Generalized Cone Comparison, Aronsson equation, and Absolute Minimizers, Comm. Partial Differential Equations, 36 (2006), no. 7-9, 1027-1046. MR2254602 (2007h:35089)
    • (2006) Comm. Partial Differential Equations , vol.36 , Issue.7-9 , pp. 1027-1046
    • Gariepy, R.1    Wang, C.2    Yu, Y.3
  • 18
    • 77950463544 scopus 로고    scopus 로고
    • Uniqueness for viscosity solutions of aronsson equations
    • to appear
    • R. JENSEN, C. WANG, Y. YU, Uniqueness for Viscosity Solutions of Aronsson Equations, Arch. Ration. Mech. Anal., to appear.
    • Arch. Ration. Mech. Anal.
    • Jensen, R.1    Wang, C.2    Yu, Y.3
  • 21
    • 33746239114 scopus 로고    scopus 로고
    • Archive for Rational Mechanics and Analysis, MR2247955 2007k:49066
    • ∞ variational problems and the Aronsson equations, Archive for Rational Mechanics and Analysis (2006), 153-180. MR2247955 (2007k:49066)
    • (2006) ∞ Variational Problems and the Aronsson Equations , pp. 153-180
    • Yu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.