Absolutely minimizing Lipschitz extensions on a metric space

Annales Academiae Scientiarum Fennicae Mathematica

Volumn 27, Issue 1, 2002, Pages 57-67

  Juutinen, Petri ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036403575     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. x F(x, f(x), f′(x)). - Ark. Mat. 6, 1965, 33-53.
2. x F(x, f(x), f′(x)), II. - Ark. Mat. 6, 1966, 409-431.
3. Aronsson, G.: Extension of functions satisfying Lipschitz conditions. - Ark. Mat. 6, 1967, 551-561.
4. Crandall, M.G., L.C. Evans, and R. Gariepy: Comments on the infinity Laplacian. - Preprint, 2000.
5. Crandall, M.G., H. Ishii, and P.-L. Lions: User's guide to viscosity solutions of second order partial differential equations. - Bull. Amer. Math. Soc. 27, 1992, 1-67.
6. Hajłasz, P., and P. Koskela: Sobolev met Poincaré. - Mem. Amer. Math. Soc. 145, 2000, 1-101.
7. Jensen, R.: Uniqueness of Lipschitz extensions: minimizing the sup norm of the gradient. - Arch. Rational Mech. Anal. 123, 1993, 51-74.
8. Juutinen, P.: Minimization problems for Lipschitz functions via viscosity solutions. - Ann. Acad. Sci. Fenn. Math. Diss. 115, 1998.
9. Lindqvist, P., and J. Manfredi: Note on ∞-harmonic functions. - Rev. Mat. Univ. Complut. Madrid 10, 1997, 1-9.
10. McShane, E.J.: Extension of range of functions. - Bull. Amer. Math. Soc. 40, 1934, 837-842.
11. Shanmugalingam, N.: Harmonic functions on metric spaces. - Manuscript, 1999.
12. Royden, H.L.: Real Analysis. - The Macmillan Co., New York, 1963.
13. Whitney, H.: Analytic extensions of differentiable functions defined in dosed sets. - Trans. Amer. Math. Soc. 36, 1934, 63-89.