A mixed boundary value problem for the Laplace equation in an angle (2nd part)

Alfredo Lorenzi

Rendiconti del Seminario Matematico della Università di Padova (1976)

  • Volume: 55, page 7-43
  • ISSN: 0041-8994

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Lorenzi, Alfredo. "A mixed boundary value problem for the Laplace equation in an angle (2nd part)." Rendiconti del Seminario Matematico della Università di Padova 55 (1976): 7-43. <http://eudml.org/doc/107600>.

@article{Lorenzi1976,
author = {Lorenzi, Alfredo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {7-43},
publisher = {Seminario Matematico of the University of Padua},
title = {A mixed boundary value problem for the Laplace equation in an angle (2nd part)},
url = {http://eudml.org/doc/107600},
volume = {55},
year = {1976},
}

TY - JOUR
AU - Lorenzi, Alfredo
TI - A mixed boundary value problem for the Laplace equation in an angle (2nd part)
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1976
PB - Seminario Matematico of the University of Padua
VL - 55
SP - 7
EP - 43
LA - eng
UR - http://eudml.org/doc/107600
ER -

References

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  1. [1] A. Avantaggiati - M. Troisi, Spazi di Sobolev con peso e problemi ellittici in un angolo, I: Ann. Mat. Pura Appl., 95 (1973), 361-408; II: Ann. Mat. Pura Appl., 97 (1973), 207-252; III: Ann. Mat. Pura Appl., 99 (1974), 1-64. Zbl0274.35033MR331039
  2. [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), 1-82. Zbl0343.76036MR342026
  3. [3] P. Grisvard, Problème de Dirichlet dans un cone, Ricerche Mat., 20 (1971), 175-192. Zbl0233.35024MR346308
  4. [4] P. Grisvard, Alternative de Fredholm relative au problème de Dirichlet dans un polygone ou un polyèdre, Boll. Un. Mat. Ital., (4) 5 (1972), 132-164. Zbl0277.35035MR312068
  5. [5] P. Grisvard, Spazi di tracce e applicazioni, Rend. Mat., 5 (1972), 637-729. Zbl0272.46025MR341059
  6. [6] Hardy - Littlewood - Polya, Inequalities, Cambridge, 1964. Zbl0010.10703
  7. [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), 259-306. Zbl0289.35024MR367436
  8. [8] M. Merigot, Régularité de dérivées de la solution du problème de Dirichlet dans un secteur plan, Matematiche, 27 (1972), 324-359. Zbl0277.35027MR346295
  9. [9] M. Merigot, Etude du problème Δu = f dans un polygone plan. Inegalités a priori (to appear). Zbl0308.35015
  10. [10] N.I. Muskhelishvili, Singular integral equations, P. Noordhoff, 1953. Zbl0108.29203MR355494
  11. [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. Zbl0204.11201
  12. [12] J. Peetre, Espaces d'interpolation et théorème de Sobolev, Ann. Inst. Fourier Grenoble, 16, 1 (1966), 279-317. Zbl0151.17903MR221282
  13. [13] E. Shamir, Mixed boundary value problems for elliptic equations in the plane. The Lp theory, Ann. Scuola Norm. Sup. Pisa, 17 (1963), 117-139. Zbl0117.07002MR157089
  14. [14] E. Shamir, Reduced Hilbert transforms and singular integral equations, J. Analyse Math., 12 (1964), 277-305. Zbl0173.14502MR165328
  15. [15] E.C. Titchmarsh, Theory of Fourier integrals, Oxford University Press, 1937. Zbl0017.40404JFM63.0367.05
  16. [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), 113-142; English translation: Proc. Steklov Inst. Math. (1967), 127-159. Zbl0162.16701MR192078

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