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Singularities of 3-dimensional potential functions at the vertices and at the edges of the boundary

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Part of the Lecture Notes in Mathematics book series (LNM,volume 827)

Keywords

  • Small Eigenvalue
  • Conducting Surface
  • Polar Axis
  • Polar Coordinate System
  • Cartesian Space

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References

  1. G. FICHERA, Asymptotic behaviour of the electric field and density of the electric charge in the neighborhood of singular points of a conducting surface, Uspekhi Mat.Nauk, 30:3, 1975, pp.105–124; English translation: Russian Math.Surveys, 30:3, 1975, pp.107–127; Ital.translation:Rend.del Seminario mat.dell'Univ. e del Politec. di Torino, 32, 1973–74, pp.111–143.

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  2. R. COURANT-D. HILBERT, Methods of Mathematical Physics, vol. I; Interscience Publ. New York, 1953.

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  3. M.A. SNEIDER, Sulla capacità elettrostatica di una superficie chiusa, Mem.Acc.Naz.Lincei, X, 3, 1970, pp.99–215.

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  4. G. FICHERA-M.A. SNEIDER, Distribution de la charge électrique dans le voisinage des sommets et des arêtes d'un cube, C.R.Acad. Sci. Paris, 278 A, 1974, pp.1303–1306.

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© 1980 Springer-Verlag

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Fichera, G. (1980). Singularities of 3-dimensional potential functions at the vertices and at the edges of the boundary. In: Everitt, W.N. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091376

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  • DOI: https://doi.org/10.1007/BFb0091376

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10252-6

  • Online ISBN: 978-3-540-38346-8

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