| Title:
|
Les équations elliptiques non linéaires (French) |
| Title:
|
Nonlinear elliptic equations (English) |
| Author:
|
Nečas, Jindřich |
| Language:
|
French |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
19 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
252-274 |
| Summary lang:
|
French |
| . |
| Category:
|
math |
| . |
| MSC:
|
35.36 |
| idZBL:
|
Zbl 0193.39202 |
| idMR:
|
MR0252829 |
| DOI:
|
10.21136/CMJ.1969.100893 |
| . |
| Date available:
|
2008-06-09T13:41:30Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100893 |
| . |
| Reference:
|
[1] F. E. Browder: Problèmes non-linéaires, Séminaire de mathématiques supérieures.Montréal 1966. MR 0250140 |
| Reference:
|
[2] F. E. Browder: Variational methods for nonlinear elliptic eigenvalue problems.Bull. Amer. Math. Soc. 71 (1965), 178-183. Zbl 0135.15802, MR 0179459 |
| Reference:
|
[3] F. E. Browder: Remarks on the direct method of the calculus of variations.Archive for Rat. Mech. and Anal. 20 (1965), 251-258. Zbl 0135.32404, MR 0187122, 10.1007/BF00253135 |
| Reference:
|
[3 bis] E. R. Buley: The differentiability of solutions of certain variational problems for multiple integrals.Technical Report 16, University of Berkeley, 1960. |
| Reference:
|
[4] E. De Giorgi: Sulla differentiabilità e l'analyticità delle estremali degli integrali multipli m regolari.Mem. Accad. Sei. Torino 3 (1957), 25-43. MR 0093649 |
| Reference:
|
[5] P. Hartman G. Stampacchia: On some non-linear elliptic differential functional equations.Acta Math. Uppsala, 115 (1966), 271-350. MR 0206537, 10.1007/BF02392210 |
| Reference:
|
[6] O. A. Ладысисенская H. H. Уралцева: Линейные и квазилинейные уравнения эллиптического типа.Moskva 1964, Zbl 1230.62001 |
| Reference:
|
[7] А. Лангенбах: О некоторых нелинейных операторах теории упругости в гилбертовском протсранстве.Вест. Ленинград. Государ. Университета, б (1961), 38-50. Zbl 1160.68305 |
| Reference:
|
[8] J. Leray J. L. Lions: Quelques résultats de Visik sur les problèmes elliptiques linéaires par les méthodes de Minty-Browder.Bull. Soc. Math. France 93 (1965), 97-107. MR 0194733 |
| Reference:
|
[9] N. G. Meyers: On L_p-estimate for the gradient of solutions of second order elliptic divergence equations.Ann. Scuola norm. Sup. Pisa 17 (1963), 189-206. MR 0159110 |
| Reference:
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[10] С. Г. Михлин: Чиселнная реализация варияционных методов.Moskva 1966. Zbl 1155.78304 |
| Reference:
|
[11] G. J. Minty: Monotone (nonlinear) operators in Hubert space.Duke Math. Journ. 29 (1962), 341-346. MR 0169064, 10.1215/S0012-7094-62-02933-2 |
| Reference:
|
[11 bis] G. J. Minty: On a monotonicity method for the solution of nonhnear equations in Banach spaces., Proc. Nat. Acad. Sc. USA, 50 (1963), 1038-1041. MR 0162159, 10.1073/pnas.50.6.1038 |
| Reference:
|
[12] Ch. B. Morrey: Multiple integrals in the calculus of variations.Springer 1966. Zbl 0142.38701 |
| Reference:
|
[13] 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. Calor. 7, 3 (1966) 301-317. Zbl 0151.15102, MR 0206470 |
| Reference:
|
[14] J. Nečas: On the existence and regularity of solutions of nonlinear elliptic equations.Proceed. of Equadiff II, Bratislava 1966. MR 0273183 |
| Reference:
|
[15] J. Nečas: Sur l'appartenance dans la classe $C\sp{(k),\,µ}$ des solutions variationnelles des équations elliptiques non-linéaires de l'ordre $2k$\ en deux dimensions.Comment. Math. Univ. Carol. 5, 2 (1967), 209-217. MR 0217419 |
| Reference:
|
[16] J. Nečas: Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d'ordre 2k en deux dimensions.Annali Scuola Norm. Sup. Pisa XXI (1967), 427-457. Zbl 0171.09401, MR 0226467 |
| Reference:
|
[17] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[18] J. Nečas: Об областях типа 91.Czech. Math. Journ. 12 (1962), 274-287. |
| Reference:
|
[19] J. Nečas: Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique.voisine de la variationnelle, Annali Scuola Norm. Sup. Pisa, XVI. 1962, 305-326. MR 0163054 |
| Reference:
|
[20] J. Nečas Z. Poracká: On extrema of functional.Comment. Math. Univ. Carol. 7. 4 (1966), 509-520. MR 0208440 |
| Reference:
|
[21] G. Stampacchia: Équations elliptiques du second ordre à coefficients discontinus.Sém. sur les équat. diff.. Collège de France, 1963-64. |
| Reference:
|
[21 bis] G. Stampacchia: Le même titre, Sémin. de mathématiques supérieures.Montréal 1965, Université Montréal 1966. |
| Reference:
|
[22] M. M. Вайнберг: Вариационные методы исследования нелинейных операторов.Москва 1956. Zbl 0995.90522 |
| Reference:
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[23] М. М. Vajnberg R. I. Kacurovskij: On the variational theory of nonlinear operators and equations.(en russe) ДАН СССР 129 (1959), 1199--1202. |
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[24] M. И. Вишик: Квазилинейные силно-элиптические системи дифференциальных уравнений имеющие дивергентную форму.Труды московского матем. общества 12 (1963), 125-182. Zbl 1145.93303 |
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