Asymptotic behaviour of the electric field near the singular points of the conductor surface

Gaetano Fichera

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 60, Issue: 1, page 13-20
  • ISSN: 0392-7881

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Fichera, Gaetano. "Asymptotic behaviour of the electric field near the singular points of the conductor surface." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 60.1 (1976): 13-20. <http://eudml.org/doc/291054>.

@article{Fichera1976,
author = {Fichera, Gaetano},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {1},
number = {1},
pages = {13-20},
publisher = {Accademia Nazionale dei Lincei},
title = {Asymptotic behaviour of the electric field near the singular points of the conductor surface},
url = {http://eudml.org/doc/291054},
volume = {60},
year = {1976},
}

TY - JOUR
AU - Fichera, Gaetano
TI - Asymptotic behaviour of the electric field near the singular points of the conductor surface
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/1//
PB - Accademia Nazionale dei Lincei
VL - 60
IS - 1
SP - 13
EP - 20
LA - eng
UR - http://eudml.org/doc/291054
ER -

References

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  1. CARLEMAN, T. (1916) - Über das Neumann Poincaresche Problem für ein Gebiet mit Ecken, Diss. Upsala, ser. 193. 
  2. CASTELLANI RIZZONELLI, P. (1973) - On the first boundary value problem for the classical theory of elasticity in a three-dimensional domain with a singular boundary, «Journal of Elasticity», 3 (4), 225-259. MR475095DOI10.1007/BF00045740
  3. FICHERA, G. (1974) - Existence Theorems in the Theory of Elasticity (in Russian), «Biblioteka Sbornika Matematika», Mir Publishers, Moscow. Zbl0317.73008
  4. FICHERA, G. (1975) - Asymptotic Behaviour of the Electric Field and of the Electric Density near the Singular Points of the Conductor Surface (in Russian), «Uspehi Matematikeski Nauk», 30, 3 (193), 105-124. MR388978
  5. FICHERA, G. and SNEIDER, M. A. (1974) - Distribution de la charge électrique dans le voisinage des sommets et des aretes d'un cube, «C. R. Acad. Sci. Paris», 278, 13 mai 1974, sér. A, 1303-1306. Zbl0282.35038MR351281
  6. HANNA, M. S. and SMITH, K. T. (1967) - Some Remarks on the Dirichlet Problem in Piece-wise Smooth Domains, «Comm. Pure and Appl. Mathem.», 20, 575-593. Zbl0154.13003MR224972DOI10.1002/cpa.3160200306
  7. KONDRAT'EV, V. A. (1963) - Boundary Value Problems for Elliptic Equations in Conical Regions (in Russian), «Doklady Akad. Nauk, SSSR». 
  8. KONDRAT'EV, V. A. (1967) - Boundary problems for elliptic equations with conical or angular points (in Russian), «Trudy Moskov Mat., Obsc.», 16, 209-212. 
  9. KONDRAT'EV, V. A. (1970) - The smoothness of the solution of the Dirichlet equations in a piece-wise smooth domain (in Russian), «Differencial'nye Urav.», 6, 1831-1843. MR282052
  10. MAZ'JA, V. G. and PLAMENEVSKII, B. A. (1971) - The oblique derivative problem in a domain with a piece-wise smooth boundary (in Russian), «Funkcional Anal. Prilozen», 5 (3), 102-103. MR282260
  11. MAZ'JA, V. G. and PLAMENEVSKII, B. A. (1972) - On a class of manifolds with singularities (in Russian), «Vyss. Ucebn. Zaved. Matematica», 11, 126, 46-52. 
  12. MAZ'JA, V. G. and PLAMENEVSKII, B. A. (1973) - On Elliptic Boundary Value Problems with Discontinuous Coefficients on Manifold with Singularities (in Russian), «Dokl. Akad. Nauk SSSR», 210. MR320516
  13. SNEIDER LUDOVICI, M. A. (1970) - Sulla capacità elettrostatica di una superficie chiusa, «Memorie Accad. Naz. Lincei», ser. VIII, 10, 97-215. 
  14. WHITTAKER, E. T. and WATSON, S. N. (1927) - A Course of Modern Analysis, 4th. Ed., Cambridge at the Univ. Press. MR1424469DOI10.1017/CBO9780511608759

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