A mixed boundary value problem for the Laplace equation in an angle (1st part)
Lorenzi, Alfredo
Rendiconti del Seminario Matematico della Università di Padova, Tome 54 (1975), p. 147-183 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1975-01-01
@article{RSMUP_1975__54__147_0,
     author = {Lorenzi, Alfredo},
     title = {A mixed boundary value problem for the Laplace equation in an angle (1st part)},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {54},
     year = {1975},
     pages = {147-183},
     zbl = {0345.35037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1975__54__147_0}
}

Lorenzi, Alfredo. A mixed boundary value problem for the Laplace equation in an angle (1st part). Rendiconti del Seminario Matematico della Università di Padova, Tome 54 (1975) pp. 147-183. http://gdmltest.u-ga.fr/item/RSMUP_1975__54__147_0/

[1] A. Avantaggiati - M. Troisi, Spazi di Sobolev con peso e problemi ellittici in un angolo - I, Ann. Mat. Pura Appl., 95 (1973), pp. 361-408; II, Ann. Mat. Pura Appl., 97 (1973), pp. 207-252; III, Ann. Mat. Pura Appl., 99 (1974), pp. 1-64. | MR 331039 | Zbl 0274.35033

[2] C. Baiocchi - V. Comincioli - E. Magenes - G.A. Pozzi, Free boundary problems in the theory of fluid flow through porous media: existence and uniqueness theorems, Ann. Mat. Pura Appl., 97 (1973), pp. 1-82. | MR 342026 | Zbl 0343.76036

[3] P. Grisvard, Problème de Dirichlet dans un cone, Ricerche Mat., 20 (1971), pp. 175-192. | MR 346308 | Zbl 0233.35024

[4] P. Grisvard, Alternative de Fredholm relative au problème de Dirichlet dans un polygone ou un polyèdre, Boll. Un. Mat. Ital. (4), 5 (1972), pp. 132-164. | MR 312068 | Zbl 0277.35035

[5] P. Grisvard, Spazi di tracce e applicazioni, Rend. Mat., 5 (1972) pp. 637-729. | MR 341059 | Zbl 0272.46025

[6] Hardy - Littlewood - Polya, Inequalities, Cambridge (1964). | Zbl 0010.10703

[7] A. Lorenzi, A mixed problem for the Laplace equation in a right angle with an oblique derivative given on a side of the angle, Ann. Mat. Pura Appl., 100 (1974), pp. 259-306 | MR 367436 | Zbl 0289.35024

[8] M. Merigot, Régularité de dérivées de la solution du problème de Dirichlet dans un secteur plan, Matematiche, 27 (1972), pp. 324-359. | MR 346295 | Zbl 0277.35027

[9] M. Merigot, Etude du problème Δu = f dans un polygone plan. Inegalités a priori Boll. Un. Mat. Ital. (4) 10 (1974), pp. 577-597. | Zbl 0308.35015

[10] N.I. Muskhelishvili, Singular integral equations, P. Noordhoff (1953). | MR 355494 | Zbl 0108.29203

[11] M.P. Van Ouverkerk - DIJKERS, Solutions of the equation of Helmholtz in a quarter plane with an oblique boundary condition, Mathematisch Centrum Amsterdam (1970). | Zbl 0204.11201

[12] J. Peetre, Espaces d'interpolation et théorème de Sobolev, Ann. Inst. Fourier Grenoble, 16, 1 (1966), pp. 279-317. | Numdam | MR 221282 | Zbl 0151.17903

[13] E. Shamir, Mixed boundary value problems for elliptic equations in the plane. The Lp theory, Ann. Scuola Norm. Sup. Pisa, 17 (1963), pp. 117-139. | Numdam | MR 157089 | Zbl 0117.07002

[14] E. Shamir, Reduced Hilbert transforms and singular integral equations J. Analyse Math., 12 (1964), pp. 277-305. | MR 165328 | Zbl 0173.14502

[15] E.C. Titchmarsh, Theory of Fourier integrals (Oxford University Press (1937). | JFM 63.0367.05 | Zbl 0017.40404

[16] E.A. Volkov, Differentiability properties of solutions of boundary value problems for the Laplace equation on a polygon, Trudy Mat. Inst. Steklov, 77 (1965), pp. 113-142; English translation: Proc. Steklov Inst, Math. (1967), pp. 127-159. | MR 192078 | Zbl 0162.16701