Generalized Robin problem in potential theory
Czechoslovak Mathematical Journal, Tome 22 (1972) no. 2, pp. 312-324
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DOI : 10.21136/CMJ.1972.101100
Classification : 31B15
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Netuka, Ivan. Generalized Robin problem in potential theory. Czechoslovak Mathematical Journal, Tome 22 (1972) no. 2, pp. 312-324. doi: 10.21136/CMJ.1972.101100

[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).

[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

[3] С. Constantinescu, A. Cornea: Ideale Ränder Riemannscher Flächen. Springer Verlag, Berlin, 1963. | Zbl

[4] N. Dunford, J. T. Schwartz: Linear operators. Part I. Interscience Publishers, New York, 1958. | MR

[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

[6] J. L. Doob: Boundary properties of functions with finite Dirichlet integrals. Ann. Inst. Fourier 12 (1966), 573-621. | MR

[7] G. F. D. Duff: Partial differential equations. Oxford University Press, 1956. | MR | Zbl

[8] H. Federer: The Gauss-Green theorem. Trans. Amer. Math. Soc. 58 (1945), 44-76. | DOI | MR | Zbl

[9] H. Federer: A note on the Gauss-Green theorem. Proc. Amer. Math. Soc. 9 (1958), 447-451. | DOI | MR | Zbl

[10] N. M. Günther: Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der mathematischen Physik. Leipzig, 1957.

[11] O. D. Kellogg: Foundations of potential theory. Springer Verlag, Berlin, 1929. | MR

[12] J. Král: The Fredholm method in potential theory. Trans. Amer. Math. Soc. 125 (1966), 511-547. | DOI | MR

[13] J. Král: Flows of heat and the Fourier problem. Czechoslovak Math. J. 20 (95) (1970), 556-598. | MR

[14] F. Y. Maeda: Normal derivatives on an ideal boundary. J. Sci. Hiroshima Univ. Ser. A-1 28 (1964), 113-131. | MR | Zbl

[15] I. Netuka: Smooth surfaces with infinite cyclic variation (Czech). Časopis pro pěstování matematiky 96 (1971), 86-101. | MR

[16] I. Netuka: The Robin problem in potential theory. Comment. Math. Univ. Carolinae 12 (1971), 205-211. | MR | Zbl

[17] I. Netuka: An operator connected with the third boundary value problem in potential theory. Czechoslovak Math. J. 22 (97), (1972) (to appear). | MR | Zbl

[18] I. Netuka: The third boundary value problem in potential theory. Czechoslovak Math. J. 22 (97), (1972) (to appear). | MR | Zbl

[19] J. Plemelj: Potentialtheoretische Untersuchungen. Leipzig, 1911.

[20] J. Radon: Über die Randwertaufgaben beim logarithmischen Potential. Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167.

[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

[22] L. С Young: A theory of boundary values. Proc. London Math. Soc. (3) 14A (1965), 300-314. | MR | Zbl

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