Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d’ordre 2 k en deux dimensions

Jindřich Nečas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1967)

  • Volume: 21, Issue: 3, page 427-457
  • ISSN: 0391-173X

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Nečas, Jindřich. "Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d’ordre $2k$ en deux dimensions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.3 (1967): 427-457. <http://eudml.org/doc/83432>.

@article{Nečas1967,
author = {Nečas, Jindřich},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {variational calculus},
language = {fre},
number = {3},
pages = {427-457},
publisher = {Scuola normale superiore},
title = {Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d’ordre $2k$ en deux dimensions},
url = {http://eudml.org/doc/83432},
volume = {21},
year = {1967},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d’ordre $2k$ en deux dimensions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1967
PB - Scuola normale superiore
VL - 21
IS - 3
SP - 427
EP - 457
LA - fre
KW - variational calculus
UR - http://eudml.org/doc/83432
ER -

References

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  1. [1] S. Agmon, A. Douglis, L. Nirenberg: Estincates near the boundary for solutions of elliptic partial differentiat equations satisfying general boundary conditions I, Comm. Pure Appl. Math.XII (1959), 623-727. Zbl0093.10401MR125307
  2. [2] F.E. Browder: Séminaire de mathématiques supérieures, Montreal1965. Zbl0153.17302
  3. [3] F.E. Browder: Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Soc.71 (1965), 176-183. Zbl0135.15802MR179459
  4. [4] E.R. Buley: The differentiability of solutions of certain variational problerrts for multiple integrals, Technical Report 16 (1960), Univ. Berkeley. 
  5. [5] E. De Giorgi: Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino3 (1957), 25-43. Zbl0084.31901MR93649
  6. [6] P. Hartman, G. Stampacchia: On some non-linear elliptic differential functional equations, Acta Math. Uppsala115 (1966) 271-310. Zbl0142.38102MR206537
  7. [7] O.A. Ladyzenskaja, N.N. Uralceva: Linejnyje i kvazilinejnyje uravnenija ellipticeskovo tipa, Izd. Nauka, Moskva1964. MR211073
  8. [8] N.G. Meyers: On Lp cstianates for the gradient of solutions of second order elliptic divergence equations. Ann. Scuola Norm. Sup. Pisa17 (1963), 189-206. Zbl0127.31904MR159110
  9. [9] C.B. Morrey: Quelques résultats récents du calcul des variations, Colloque CNRS, Paris1962. Zbl0229.49002
  10. [10] C.B. Morrey: Multiple integrals in the calculus of variations, Springer1966. Zbl0142.38701
  11. [11] C.B. Morrey: Existence and differentiability theorems for the solutions of variational problems for multiple integrals, Bull. Amer. Math. Soc.46 (1940), 439-458. Zbl0063.04105MR2473JFM66.0476.02
  12. [12] J. Nečas: Sur l'existence et le régularité des solutions des équations non-Lïnéaires du type elliptique, Proc. Equadiff II, Bratislava1966. 
  13. [13] J. Necas: Les méthodes directes en théorie des équations elliptiques, Praque1967. MR227584
  14. [14] J. Nečas: Sur la méthode variationnelle pour les équations aux dérivées partielles non-linéaires du type elliptique, CMUC7, 3, (1966), 301-317. Zbl0151.15102MR206470
  15. [14bis] J. Nečas: Sur les domaines du type N, Czechslovak Math. Journ.12 (1962), 274-287. Zbl0106.27001
  16. [15] L. Nirenrerg: Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math.8 (1955), 648-674. Zbl0067.07602MR75415
  17. [16] G. Stampacchia: Séminaire de mathéntatiques supérieures, Montréal1965. Zbl0151.15501
  18. [17] M.M. Vajnberg: Variacionnyje metody issledovanija nelinejnych operatorov, Moskva1956. 
  19. [18] A. Zygmund: Trigonometrical series, Cambridge1959. 

Citations in EuDML Documents

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  1. Jindřich Nečas, Oldřich John, Jana Stará, Counterexample to the regularity of weak solution of elliptic systems
  2. S. Campanato, Un risultato relativo ad equazioni ellittiche del secondo ordine di tipo non variazionale
  3. Miroslav Krbec, On L p -estimates for solutions of elliptic boundary value problems
  4. Jindrich Nečas, Sur la régularité des solutions faibles des équations elliptiques non-linéaires
  5. Jana Stará, Regularity results for non-linear elliptic systems in two dimensions
  6. Manfred Müller, Jindřich Nečas, Über die Regularität der schwachen Lösungen von Randwertaufgaben für quasilineare elliptische Differentialgleichungen höherer Ordnung
  7. Petr Kaplický, Josef Málek, Jana Stará, Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem
  8. Jindřich Nečas, Les équations elliptiques non linéaires
  9. Jindřich Nečas, Sur la régularité des solutions faibles des équations elliptiques non linéaires
  10. Bernhard Kawohl, On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems

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