Sur l'existence de la solution classique du problème de Poisson pour les domaines plans

Jindřich Nečas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1962)

  • Volume: 16, Issue: 3, page 285-296
  • ISSN: 0391-173X

How to cite

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Nečas, Jindřich. "Sur l'existence de la solution classique du problème de Poisson pour les domaines plans." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 16.3 (1962): 285-296. <http://eudml.org/doc/83285>.

@article{Nečas1962,
author = {Nečas, Jindřich},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {elliptic equations of order 2k; Poisson problem; weak solution; continuity; plane domains},
language = {fre},
number = {3},
pages = {285-296},
publisher = {Scuola normale superiore},
title = {Sur l'existence de la solution classique du problème de Poisson pour les domaines plans},
url = {http://eudml.org/doc/83285},
volume = {16},
year = {1962},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Sur l'existence de la solution classique du problème de Poisson pour les domaines plans
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1962
PB - Scuola normale superiore
VL - 16
IS - 3
SP - 285
EP - 296
LA - fre
KW - elliptic equations of order 2k; Poisson problem; weak solution; continuity; plane domains
UR - http://eudml.org/doc/83285
ER -

References

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  1. [1] E. Gagliardo: Proprietà di alcune classi di funzioni in più variabili. Ricerche di matematica, vol.VII, (1958), 102-137. Zbl0089.09401MR102740
  2. [2] S. Agmon, A. Douglis, L. Nirenberg: Estimates near the boundary for solutions of elliptic partial differential equations salisfying general boundary conditions I. Comm. on pure and appl. mathematics, vol. XII, (1959), 623-727. Zbl0093.10401MR125307
  3. [3] G. Tautz: Reguläre Randpunkte beim verallgemeinerten Dirichletschen Problem, Math. Zeit., 39, 532-559, (1935). Zbl0010.35603MR1545516JFM61.0531.02
  4. [4] C.B. Morrey: second Order Elliptic Equations in Several Variables and Hölder Continuity, Math. Zeitschrift, 72, 146-164, (1959). Zbl0094.07802MR120446
  5. [5] R. Courant, D. Hilbert: Methoden der mathematischen Physik, Springer (1931). Zbl0001.00501JFM57.0245.01
  6. [6] L. Nirenberg: Remarks on Strongly Elliptic Partial Differential Equations. Comm. on pure and appl. math. vol.VIII, (1955), 649-675 Zbl0067.07602MR75415
  7. [7] M. Nicolesco: Les fonctions polyharmoniques, Herrmann, (1936). Zbl0016.02505
  8. [8] E. Magenes, G. Stampacchia: I problemi al contorno per le equazioni differenziali di tipo ellittico. Annali della Scuola Normale Superiore di Pisa, Ser. III, vol. XII, Fasc. III, (1958), 247-358. Zbl0082.09601MR123818
  9. [9] G.A. Hardy. Y.E. Littlewood, G. Polya: Inequalities, (1934). 
  10. [10] F.E. Browder: Functional Analysis and Partial Differential Equations II, Mathematische Annalen145, (1962), 81-226. Zbl0103.31602MR136857

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