The Kelvin-Nevanlinna-Royden criterion for p-parabolicity

Mathematische Zeitschrift

Volumn 232, Issue 4, 1999, Pages 607-619

  Gol'dshtein, Vladimir ^a   Troyanov, Marc ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347813155     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004775     Document Type: Article

References (15)

1. R. Bott and L.W. Tu, Differential Forms in Algebraic Topolgy, Springer Graduate text in Mathematics 82 (1982)
2. G. de Rham, Variétés différentiables, Hermann Paris, (1960)
3. M. Gaffney, A Special Stoke's Theorem for Complete Riemannian Manifolds, Ann. of Math. 60 (1954) 140-145
4. V. M. Gol'dshtein, V.I. Kuz'minov, I.A. Shvedov, A Property of de Rham Regularization Operators, Siberian Math. Journal, 25, No 2 (1984)
5. V. Gol'dshtein and Yu. Reshetnyak, Quasiconformal Mappings and Sabolev Spaces, Kluwer 1990.
6. pq-Cohomology of SOL, Annales de la Faculté des Sciences de l'Université de Toulouse, VII, no. 4 (1998), 687-698
7. n, C.R. Acad. Sciences Paris, t. 326, Série 1, p. 1185-1187 (1998)
8. E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, 1984.
9. J.Heinonen, T.Kilpeläinen, O.Martio, Non Linear Potential Theory of Degenerate Elliptic Equations, Oxford Math. Monographs (1993)
10. T. Lyons, D. Sullivan, Function theory, random paths and covering spaces, J. Diff. Geom.A 18 (1984), 229-323
11. V.G. Maz'ya, Sobolev Spaces, Springer Verlag (1985)
12. p des variétés à courbure négative, cas du degré 1, Rend.Sem. Mat. Univ. Pol. Torino Fascicolo Speciale P.D.E and Geometry (1989), p. 95-119.
13. H.L. Royden, Harmonic Function on Open Riemann Surfaces, Transaction Amer. Math. Soc. 73 (1952) 40-94
14. M. Troyanov, Parabolicity of Manifolds, Préprint EPFL, 1997
15. M. Troyanov, Solving the p-laplacian on Manifolds, To appear Proceedings Amer. Math. Soc.