Vengono dati risultati che descrivono analiticamente il cosiddetto «effetto delle punte» di un conduttore elettrico.
Referenze Bibliografiche
[1]
T. CARLEMAN (
1916) -
Über das Neumann Poincaresche Problem für ein Gebiet mit Ecken, Diss. Upsala, ser.
193. |
fulltext EuDML[2]
P. CASTELLANI RIZZONELLI (
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. |
fulltext (doi) |
MR 475095[3]
G. FICHERA (
1974) -
Existence Theorems in the Theory of Elasticity (in Russian), «
Biblioteka Sbornika Matematika»,
Mir Publishers, Moscow. |
Zbl 0317.73008[4 ]
G. FICHERA (
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. |
MR 388978[5]
G. FICHERA and
M. A. SNEIDER (
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. |
MR 351281 |
Zbl 0282.35038[6]
M. S. HANNA and
K. T. SMITH (
1967) -
Some Remarks on the Dirichlet Problem in Piece-wise Smooth Domains, «
Comm. Pure and Appl. Mathem.»,
20, 575-593. |
fulltext (doi) |
MR 224972 |
Zbl 0154.13003[7] V. A. KONDRAT'EV (1963) - Boundary Value Problems for Elliptic Equations in Conical Regions (in Russian), «Doklady Akad. Nauk, SSSR».
[8] V. A. KONDRAT'EV (1967) - Boundary problems for elliptic equations with conical or angular points (in Russian), «Trudy Moskov Mat., Obsc.», 16, 209-212.
[9]
V. A. KONDRAT'EV (
1970) -
The smoothness of the solution of the Dirichlet equations in a piece-wise smooth domain (in Russian), «
Differencial'nye Urav.»,
6, 1831-1843. |
MR 282052[10]
V. G. MAZ'JA and
B. A. PLAMENEVSKII (
1971) -
The oblique derivative problem in a domain with a piece-wise smooth boundary (in Russian), «
Funkcional Anal. Prilozen»,
5 (3), 102-103. |
MR 282260[11] V. G. MAZ'JA and B. A. PLAMENEVSKII (1972) - On a class of manifolds with singularities (in Russian), «Vyss. Ucebn. Zaved. Matematica», 11, 126, 46-52.
[12]
V. G. MAZ'JA and
B. A. PLAMENEVSKII (
1973) -
On Elliptic Boundary Value Problems with Discontinuous Coefficients on Manifold with Singularities (in Russian), «
Dokl. Akad. Nauk SSSR»,
210. |
MR 320516[13] M. A. SNEIDER LUDOVICI (1970) - Sulla capacità elettrostatica di una superficie chiusa, «Memorie Accad. Naz. Lincei», ser. VIII, 10, 97-215.
[14]
E. T. WHITTAKER and
S. N. WATSON (
1927) -
A Course of Modern Analysis, 4th. Ed., Cambridge at the
Univ. Press. |
fulltext (doi) |
MR 1424469
Con il contributo del Ministero per i Beni e le Attività Culturali