On the belonging of variational solutions of elliptic non-linear equations of order 2 k in two dimensions to the class C ( k ) , μ (Preliminary communication)

Jindřich Nečas

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 2, page 209-217
  • ISSN: 0010-2628

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Nečas, Jindřich. "Sur l’appartenance dans la classe $C^{(k),\mu }$ des solutions variationnelles des équations elliptiques non-linéaires de l’ordre $2k$ en deux dimensions (Communication préalable)." Commentationes Mathematicae Universitatis Carolinae 008.2 (1967): 209-217. <http://eudml.org/doc/16208>.

@article{Nečas1967,
author = {Nečas, Jindřich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonlinear elliptic equations; regularity; norm estimates; Dirichlet problem; variational solutions},
language = {fre},
number = {2},
pages = {209-217},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sur l’appartenance dans la classe $C^\{(k),\mu \}$ des solutions variationnelles des équations elliptiques non-linéaires de l’ordre $2k$ en deux dimensions (Communication préalable)},
url = {http://eudml.org/doc/16208},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Sur l’appartenance dans la classe $C^{(k),\mu }$ des solutions variationnelles des équations elliptiques non-linéaires de l’ordre $2k$ en deux dimensions (Communication préalable)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 2
SP - 209
EP - 217
LA - fre
KW - nonlinear elliptic equations; regularity; norm estimates; Dirichlet problem; variational solutions
UR - http://eudml.org/doc/16208
ER -

References

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  1. E. R. BULEY, The differentiability of solutions of certain variational problems for multiple integrals, Technical Report 16 (1960), Univ. Berkeley. (1960) 
  2. E. De GIORGI, Sulla differenziabilità e l'analyticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino, 3 (1957), 25-43. (1957) MR0093649
  3. O. A. LADYŽENSKAJA N. N. URALCEVA, Linějnyje i kvazilinějnyje uravněnija elliptičeskogo tipa, Izd. Nauka, Moskva 1964. (1964) MR0211073
  4. C. B. MORREY, Quelques résultats récents du calcul des variations, Colloque CNRS, Paris 1962. (1962) 
  5. C. B. MORREY, Multiple integral problems in the calculus of variations and related topics, Univ. of California. Publ. 1 (19413), 1-130. Zbl0108.10402
  6. J. NEČAS, On the existence and regularity of solutions of nonlinear elliptic equations, Proceedings of Equadiff II, Bratislava 1966. (1966) MR0273183
  7. J. NEČAS, Sur la méthode variationnelle pour les équations aux dérivées partielles non linéaires du type elliptique; l'existence et la régularité des solutions, Comment. Math. Univ. Carolinae 7, 3 (1966), 301-317. (1966) Zbl0151.15102MR0206470
  8. F. E. BROWDER, Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 176-183. (1965) Zbl0135.15802MR0179459

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