| Title:
|
Harmonic functions on convex sets and single layer potentials (English) |
| Author:
|
Pokorná, Eva |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
102 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
50-60 |
| . |
| Category:
|
math |
| . |
| MSC:
|
31B15 |
| idZBL:
|
Zbl 0346.31003 |
| idMR:
|
MR0444976 |
| DOI:
|
10.21136/CPM.1977.117946 |
| . |
| Date available:
|
2009-09-23T08:47:48Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117946 |
| . |
| Reference:
|
[1] H. Bauer: Нaгmonisсhе Räumе und ihrе Potеntialthеoriе.Springег Vегlag, Bеrlin, 1966. |
| Reference:
|
[2] S. Dümmel: On invеrsе pгoblеms for k-dimеnsional potеntials.Nonlinеar ҽvolution еquations and potеntial thеory (pp. 73-93), Aсadеmia, Praha, 1975. |
| Reference:
|
[3] G. C. Evans: The logarithmic potential.(Discontinuous Dirichlet and Neumann problems), AMM Colloquium Publications, VI, New York, 1927. |
| Reference:
|
[4] G. A. Garrett: Necessary and sufficient conditions for potentials of single and double layers.Amer. J. Math. 58 (1936), 95-129. Zbl 0013.26603, MR 1507136 |
| Reference:
|
[5] L. L. Helms: Introduction to potential theory.Wiley-Interscience, New York, 1969. Zbl 0188.17203, MR 0261018 |
| Reference:
|
[6] R. A. Hunt, R. L. Wheeden: Positive harmonic functions on Lipschitz domains.Trans. Amer. Math. Soc. 147 (1970), 507-527. Zbl 0193.39601, MR 0274787 |
| Reference:
|
[7] D. V. Kapánadze, I. N. Karcivadze: Potentials in a domain with noncompact boundary.(Russian), Thbilis. Sahelmc. Univ. Gamoqeneb. Math. Inst. Šrom. 2 (1969), 13-19. MR 0276486 |
| Reference:
|
[8] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503 |
| Reference:
|
[9] J. Král, J. Mařík: Integration with respect to the Hausdorff measure over a smooth surface.(Czech), Časopis Pěst. Mat. 89 (1964), 433-448. MR 0181730 |
| Reference:
|
[10] J. Matyska: Approximate differential and Federer normal.Czech. Math. J. 17 (92) (1967), 97-107. Zbl 0162.07601, MR 0207926 |
| Reference:
|
[11] I. Netuka: Generalized Robin problem in potential theory.Czech. Math. J. 22 (97) (1972), 312-324. Zbl 0241.31008, MR 0294673 |
| Reference:
|
[12] I. Netuka: An operator connected with the third boundary value problem in potential theory.Czech. Math. J. 22 (97) (1972), 462-489. Zbl 0241.31009, MR 0316733 |
| Reference:
|
[13] I. Netuka: The third boundary value problem in potential theory.Czech. Math. J. 22 (97) (1972), 554-580. Zbl 0242.31007, MR 0313528 |
| Reference:
|
[14] I. Netuka: Fredholm radius of a potential theoretic operator for convex sets.Časopis Pěst. Mat. 100 (1975), 374-383. Zbl 0314.31006, MR 0419794 |
| Reference:
|
[15] E. D. Solomencev: Harmonic functions representable by Green's type integrals II.(Russian), Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 834-854. |
| Reference:
|
[16] Ch. de la Vallé Poussin: Le potential logarithmique.Gauthier-Villars, Paris, 1949. |
| . |
