Fabrikant, V. I. Neumann problem for an annular disk. (English) Zbl 0752.31001 Int. J. Eng. Sci. 29, No. 11, 1425-1431 (1991). Summary: A general formulation is given for the first time to the title problem. The method is based on the results in potential theory obtained by the author earlier. The problem is reduced to a two-dimensional integral equation with an elementary non-singular kernel. Several specific examples are considered. The exact solution is obtained in terms of the iterated kernel. Cited in 1 Document MSC: 31A10 Integral representations, integral operators, integral equations methods in two dimensions 45B05 Fredholm integral equations Keywords:two-dimensional Fredholm integral equations; prescribed charge density distribution; non-singular kernel; exact solution; circular annulus PDFBibTeX XMLCite \textit{V. I. Fabrikant}, Int. J. Eng. Sci. 29, No. 11, 1425--1431 (1991; Zbl 0752.31001) Full Text: DOI References: [1] Collins, W. D., (Proc. Edinburgh Math. Soc., 13 (1963)), 235-246 [2] Clements, D. L.; Love, E. R., (Proc. Cambridge Phil. Soc., 76 (1974)), 313-325 [3] Clements, D. L.; Ang, W. T., Int. J. Engng Sci., 26, 325-329 (1988) [4] Fabrikant, V. I., Applications of Potential Theory in Mechanics. Selection of New Results (1989), Kluwer Academic · Zbl 0744.73016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.