Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle

O. A. Oleinik; G. A. Yosifian

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1977)

  • Volume: 4, Issue: 2, page 269-290
  • ISSN: 0391-173X

How to cite

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Oleinik, O. A., and Yosifian, G. A.. "Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 4.2 (1977): 269-290. <http://eudml.org/doc/83750>.

@article{Oleinik1977,
author = {Oleinik, O. A., Yosifian, G. A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {269-290},
publisher = {Scuola normale superiore},
title = {Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle},
url = {http://eudml.org/doc/83750},
volume = {4},
year = {1977},
}

TY - JOUR
AU - Oleinik, O. A.
AU - Yosifian, G. A.
TI - Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1977
PB - Scuola normale superiore
VL - 4
IS - 2
SP - 269
EP - 290
LA - eng
UR - http://eudml.org/doc/83750
ER -

References

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  1. [1] R.A. Toupin, Saint-Venant's principle, Arch. Ration. Mech. and Anal., Vol. 18, no. 2 (1965). Zbl0203.26803MR172506
  2. [2] M. Gurtin, The linear theory of elasticity, Handbuch der physik, VI a/2, Springer Verlag, 1973. 
  3. [3] C. Miranda, Equazioni alle derivate parziali di tipo ellittico, Springer Verlag, 1955. Zbl0065.08503MR87853
  4. [4] E.I. Moiseev, On the Neuman problem is piecewise-smooth domains, Diff. uravnenia, Vol. 7, no. 9 (1971), pp. 1655-1666. Zbl0234.35026MR304846
  5. [5] K. Yosida, Functional analysis, Springer Verlag, 1965. 
  6. [6] G. Fichera, Existence theorems in elasticity, Handbuch der physik, VI a/2, Springer Verlag, 1973. 
  7. [7] O.A. Oleinik - G.A. Yosifian, Energy estimates for weak solutions of boundary value problems for second order elliptic equations and their applications, Dokl. Akad. Nauk SSSR, 232, no. 6 (1977). Zbl0382.35023
  8. [8] O.A. Oleinik - G.A. Yosifian, An analogue of Saint-Venant's principle and the uniqueness of solutions of boundary value problems for parabolic equations in unbounded domains, Uspechi Mat. Nauk, 31, no. 6 (1976), pp. 142-166. Zbl0366.35046MR481411

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