Classical solution to a second order nonlinear elliptic system in R 3

J. Nečas; J. Stará; R. Švarc

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 4, page 605-631
  • ISSN: 0391-173X

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Nečas, J., Stará, J., and Švarc, R.. "Classical solution to a second order nonlinear elliptic system in $R_3$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.4 (1978): 605-631. <http://eudml.org/doc/83795>.

@article{Nečas1978,
author = {Nečas, J., Stará, J., Švarc, R.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {605-631},
publisher = {Scuola normale superiore},
title = {Classical solution to a second order nonlinear elliptic system in $R_3$},
url = {http://eudml.org/doc/83795},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Nečas, J.
AU - Stará, J.
AU - Švarc, R.
TI - Classical solution to a second order nonlinear elliptic system in $R_3$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 4
SP - 605
EP - 631
LA - eng
UR - http://eudml.org/doc/83795
ER -

References

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  1. [1] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969 (Russian transl.: Nekotoryje metody reshenija nelinejnych krajevych zadac, Mir, Moscow, 1972). Zbl0189.40603MR259693
  2. [2] Ch B. Morrey Jr., Multiple integrals in the calculus of variations, Springer, Berlin, 1966. Zbl0142.38701
  3. [3] E. Giusti - M. Miranda, Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni, Boll. Un. Mat. Ital. (4) 2 (1968), pp. 1-8. Zbl0155.44501MR232265
  4. [4] J Nečas, Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, to appear in Beiträge Anal. (1977). Zbl0372.35031MR509483
  5. [5] V.G. Mazja, Primery neregularnych reshenij kvazilinejnych ellipticeskich uravnenij s analiticeskimi koeficientami, Funkcional'nyj Analiz, 2 (1968), vyp. 3. MR237946
  6. [6] J Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. MR227584
  7. [7] S. Agmon - A. Douglis - J. Nirenberg, Estimates near boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math., 12 (1959), pp. 623-727; II, Comm. Pure Appl. Math., 17 (1964), pp. 35-92. Zbl0093.10401MR125307

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