Résultats d'existence pour certains problèmes elliptiques quasilinéaires

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1. [1] H. Amann - M.G. Crandall, On some existence theorems for semi-linear elliptis equations, Indiana Univ. Math. J., 27 (1978), pp. 779-790. Zbl0391.35030MR503713
2. [2] A. Bensoussan - J. Frehse, Jeux differentiels stochastiques et systèmes d'équations aux dérivées partielles non linéaires, C. R. Acad. Sc. Paris, 293, Série I (1981), pp. 187-190, et article à paraître. Zbl0467.93053MR637123
3. [3] A. Bensoussan - J. Frehse - U. Mosco, A. stochastic impulse control problem with quadratic growth Hamiltonian and the corresponding quasi-variational inequality, J. Reine Angew. Math., 331 (1982), pp. 124-145. Zbl0474.49013MR647377
4. [4] L. Boccardo - F. Murat, Homogénéisation de problèmes quasilinéaires, Atti del Convegno « Studio di Problemi limite della Analisi Funzionale» (Bressanone, sett. 1981), Pitagora Editrice, Bologna (1982), pp. 13-51. 
5. [5] L. Boccardo - F. Murat - J.P. Puel, Existence de solutions faibles pour des équations elliptiques quasilinéaires à croissance quadratique, Nonlinear partial differential equations and their applications, Collège de France Seminar, vol. IV, ed. by H. BREZIS and J. L. LIONS, Research Notes in Mathematics, 84, Pitman, London (1983), pp. 19-73. Zbl0588.35041MR716511
6. [6] L. Boccardo - F. Murat - J.P. Puel, Existence de solutions non bornées pour certaines équations quasi-linéaires, Portugaliae Math., 41 (1982) (volume dedié à la mémoire de J. Sebastião e Silva), à paraître. Zbl0524.35041MR766873
7. [7] F.E. Browder, Existence theorems for nonlinear partial differential equations, Proceedings of Symposia in Pure Mathematics, vol. XVI, ed. by S. S. CHERN and S. SMALE, American Mathematical Society, Providence (1970), pp. 1-60. Zbl0211.17204MR269962
8. [8] Y. Choquet-Bruhat - J. Leray, Sur le problème de Dirichlet quasilinéaire d'ordre 2, C. R. Acad. Sc. Paris, 274, série A (1972), pp. 81-85. Zbl0227.35045MR291623
9. [9] J. Deuel - P. Hess, Nonlinear parabolic boundary value problems with upper and lower solutions, Israel J. Math., 29 (1978), pp. 92-104. Zbl0372.35045MR492636
10. [10] F.W. Gehring, The Lp integrability of the partial derivatives of a quasi conformal mapping, Acta Math., 130 (1973), pp. 265-277. Zbl0258.30021MR402038
11. [11] M. Giaquinta - E. Giusti, Nonlinear elliptic systems with quadratic growth, Manuscripta Math., 24 (1978), pp. 323-349. Zbl0378.35027MR481490
12. [12] M. Giaquinta - G. Modica, Regularity results for some classes of higher order nonlinear elliptic systems, J. Reine Angew. Math., 311-312 (1979), pp. 145-169. Zbl0409.35015MR549962
13. [13] P. Hess, On a second order nonlinear elliptic boundary value problem, Nonlinear Analysis, A collection of papers in honor of E. H. ROTHE, ed. by L. CESARI, R. KANNAN and H. F. WEINBERGER, Academic Press, New York (1978), pp. 99-107. Zbl0464.35041MR499094
14. [14] S. Hildebrandt - K.O. Widman, Some regularity results for quasilinear elliptic systems of second order, Math. Z., 142 (1975), pp. 67-86. Zbl0317.35040MR377273
15. [15] H. Hofer, Existence and multiplicity result for a class of second order elliptic equations, Proc. Roy. Soc. Edimburgh, série A, 88 (1981), pp. 83-92. Zbl0468.35042MR611302
16. [16] O.A. Ladyzenskaya - N.N. Uralceva, Equations aux dérivées partielles de type elliptique, Dunod, Paris (1968). Zbl0164.13001MR239273
17. [17] J. Leray - J.L. Lions, Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France, 93 (1965), pp. 97-107. Zbl0132.10502MR194733
18. [18] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris (1969). Zbl0189.40603MR259693
19. [19] J.P. Puel, Existence, comportement à l'infini et stabilité dans certains problèmes quasilinéaires elliptiques et paraboliques d'ordre 2, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Serie IV, 3 (1976), pp. 89-119. Zbl0331.35027MR399654
20. [20] J. Serrin, The problem of Dirichlet for quasilinear elliptic differential equation with many independent variables, Phil. Trans. Roy. Soc. London, A, 264 (1969), pp. 413-496. Zbl0181.38003MR282058
21. [21] G. Stampacchia, Equations elliptiques du second ordre à coefficients discontinus, Séminaire de Mathématiques Supérieures, n°. 16, Les Presses de l'Université de Montréal, Montréal (1966). Zbl0151.15501MR251373
22. [22] F. Tomi, Über semilineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z., 111 (1969), pp. 350-366. Zbl0179.43602MR279428

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