Title:
|
Wiener's test of thinness in potential theory (English) |
Author:
|
Brzezina, Miroslav |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
31 |
Issue:
|
2 |
Year:
|
1990 |
Pages:
|
227-232 |
. |
Category:
|
math |
. |
MSC:
|
31B35 |
MSC:
|
31D05 |
MSC:
|
35J25 |
MSC:
|
35K20 |
idZBL:
|
Zbl 0729.31011 |
idMR:
|
MR1077893 |
. |
Date available:
|
2008-06-05T21:43:34Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106852 |
. |
Reference:
|
[Ba] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Lecture Notes in Mathematics 22, Springer-Verlag, Berlin, 1966. Zbl 0142.38402, MR 0210916 |
Reference:
|
[B-H1] J. Bliedtner W. Hansen: Simplicial cones in potential theory.Inventiones Math. 29 (1975), 83-110. MR 0387630 |
Reference:
|
[B-H2] J. Bliedtner W. Hansen: Potential theory, An Analytic and Probabilistic Approach to Balayage.Springer-Verlag, Berlin, 1986. MR 0850715 |
Reference:
|
[Br1] M. Brelot: Elémentes de la théorie classique du potentiel, 2$^e$ ed..Centre de Documentation Universitaire, Paris, 1961. MR 0106366 |
Reference:
|
[Br2] M. Brelot: Sur les ensembles effilés.Bull. Sci. Math. 68 (1944), 12-36. Zbl 0028.36201, MR 0012364 |
Reference:
|
[Brz] M. Brzezina: On the base and the essential base in parabolic potential theory.Czechoslovak Math. J. (to appear). Zbl 0712.31001, MR 1032362 |
Reference:
|
[C-C] C. Constantinescu A. Cornea: Potential theory on harmonic spaces.Springer-Verlag, Berlin, 1972. MR 0419799 |
Reference:
|
[E-G] C. L. Evans F. R. Gariepy: Wiener's criterion for the heat equation.Arch. Rational Mech. Anal. 78 (1982), 293-314. MR 0653544 |
Reference:
|
[G-L] N. Garofalo E. Lanconelli: Wiener's criterion for parabolic equations with variable coefficients and its consequences.Trans. Amer. Math. Soc. 308 (1988), 811-836. MR 0951629 |
Reference:
|
[Ha] W. Hansen: .Private communication. Zbl 1167.26307 |
Reference:
|
[He] L. L. Helms: Introduction to potential theory.Wiley Interscience, New York, 1969. Zbl 0188.17203, MR 0261018 |
Reference:
|
[N-S] P. Negrini V. Scornazzani: Wiener criterion for a class of degenerate elliptic operators.J. Differential Equations 66 (1987), 151-164. MR 0871992 |
Reference:
|
[W] N. Wiener: The Dirichlet problem.J. Math. Phys. 3 (1924), 127-146. |
. |