Extension of functions satisfying lipschitz conditions

Arkiv för Matematik - Tập 6 - Trang 551-561 - 1967
Gunnar Aronsson1
1Department of Mathematics, University of Uppsala, Uppsala

Tài liệu tham khảo

McShane, E. J., Extension of range of functions, Bull. Amer. Math. Soc.40, 837–842 (1934). Aronsson, G., Minimization problems for the functional sup xF(x,f(x),f′(x)), Arkiv för Matematik6, 33–53 (1965). Aronsson, G., Minimization problems for the functional sup xF(x,f(x),f′(x)) II, Arkiv för Matematik6, 409–431 (1966). Whitney, H., Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc.,36, 63–89 (1934). Garabedian, P. R., Partial Differential Equations. Wiley & Sons, New York, 1964. Courant, R. andHilbert, D., Methods of Mathematical Physics, Vol. II. Interscience, New York, 1962. Meinardus, G., Approximation von Funktionen und ihre numerische Behandlung. Springer-Verlag, Berlin, 1964. Rademacher, H., Über partielle und totale Differenzierbarkeit, Math. Annalen79, 340–359 (1918).