| Title:
|
Generalized Robin problem in potential theory (English) |
| Author:
|
Netuka, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
22 |
| Issue:
|
2 |
| Year:
|
1972 |
| Pages:
|
312-324 |
| . |
| Category:
|
math |
| . |
| MSC:
|
31B15 |
| idZBL:
|
Zbl 0241.31008 |
| idMR:
|
MR0294673 |
| DOI:
|
10.21136/CMJ.1972.101100 |
| . |
| Date available:
|
2008-06-09T13:56:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101100 |
| . |
| Reference:
|
[1] Ju. D. Biirago, V. G. Mazja: Some questions in potential theory and function theory for regions with irregular boundaries.(Russian), Zapiski nauc. sem. Leningrad, otd. MIAN 3 (1967). |
| Reference:
|
[2] Ju. D. Burago V. G. Mazja, V. D. Sapoznikova: On the theory of potentials of a double and a simple layer for regions with irregular boundaries.(Russian), Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 3-34. Izdat. Leningrad. Univ., Leningrad, 1966. MR 0213596 |
| Reference:
|
[3] С. Constantinescu, A. Cornea: Ideale Ränder Riemannscher Flächen.Springer Verlag, Berlin, 1963. Zbl 0112.30801 |
| Reference:
|
[4] N. Dunford, J. T. Schwartz: Linear operators. Part I.Interscience Publishers, New York, 1958. MR 0117523 |
| Reference:
|
[5] E. De Giorgi: Nuovi teoremi relativi alle misure (r - l)-dimensionali in uno spazio ad r dimensioni.Ricerche di Matematica 4 (1955), 95-113. MR 0074499 |
| Reference:
|
[6] J. L. Doob: Boundary properties of functions with finite Dirichlet integrals.Ann. Inst. Fourier 12 (1966), 573-621. MR 0173783 |
| Reference:
|
[7] G. F. D. Duff: Partial differential equations.Oxford University Press, 1956. Zbl 0071.30903, MR 0078550 |
| Reference:
|
[8] H. Federer: The Gauss-Green theorem.Trans. Amer. Math. Soc. 58 (1945), 44-76. Zbl 0060.14102, MR 0013786, 10.1090/S0002-9947-1945-0013786-6 |
| Reference:
|
[9] H. Federer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. 9 (1958), 447-451. Zbl 0087.27302, MR 0095245, 10.1090/S0002-9939-1958-0095245-2 |
| Reference:
|
[10] N. M. Günther: Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der mathematischen Physik.Leipzig, 1957. |
| Reference:
|
[11] O. D. Kellogg: Foundations of potential theory.Springer Verlag, Berlin, 1929. MR 0222317 |
| Reference:
|
[12] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
| Reference:
|
[13] J. Král: Flows of heat and the Fourier problem.Czechoslovak Math. J. 20 (95) (1970), 556-598. MR 0271554 |
| Reference:
|
[14] F. Y. Maeda: Normal derivatives on an ideal boundary.J. Sci. Hiroshima Univ. Ser. A-1 28 (1964), 113-131. Zbl 0192.20402, MR 0177126 |
| Reference:
|
[15] I. Netuka: Smooth surfaces with infinite cyclic variation (Czech).Časopis pro pěstování matematiky 96 (1971), 86-101. MR 0284553 |
| Reference:
|
[16] I. Netuka: The Robin problem in potential theory.Comment. Math. Univ. Carolinae 12 (1971), 205-211. Zbl 0215.42602, MR 0287021 |
| Reference:
|
[17] I. Netuka: An operator connected with the third boundary value problem in potential theory.Czechoslovak Math. J. 22 (97), (1972) (to appear). Zbl 0241.31009, MR 0316733 |
| Reference:
|
[18] I. Netuka: The third boundary value problem in potential theory.Czechoslovak Math. J. 22 (97), (1972) (to appear). Zbl 0242.31007, MR 0313528 |
| Reference:
|
[19] J. Plemelj: Potentialtheoretische Untersuchungen.Leipzig, 1911. |
| Reference:
|
[20] J. Radon: Über die Randwertaufgaben beim logarithmischen Potential.Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167. |
| Reference:
|
[21] V. D. Sapoznikova: Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries (Russian).Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 35 - 44, Izdat. Leningrad. Univ., Leningrad, 1966. MR 0213597 |
| Reference:
|
[22] L. С Young: A theory of boundary values.Proc. London Math. Soc. (3) 14A (1965), 300-314. Zbl 0147.07802, MR 0180891 |
| . |
