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Résolution de problèmes elliptiques quasilineaires. (French) Zbl 0449.35036


MSC:

35J60 Nonlinear elliptic equations
35B50 Maximum principles in context of PDEs
Full Text: DOI

References:

[1] Amann, H., & M. G. Crandall, On some existence theorems for semi-linear elliptic equations. M.R.C. Tech. Report #1772, Madison, Wisconsin. 1977. · Zbl 0391.35030
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[3] Choquet-Bruhat, Y., & J. Leray, Sur le problème de Dirichlet quasi-linéaire d’ordre deux. Compte-Rendus Acad. Sci. Paris, Ser. A. 274, 81–85 (1972). · Zbl 0227.35045
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[9] Ladhyzenskaya, O. A., & N. N. Ural’tseva, On total estimates of first derivatives of solutions of quasilinear elliptic and parabolic equations. Zap. Nauch. Sem. Leningrad. Otdel. Mat. Inst. Steklov 2, 127–155 (1969) (in Russian).
[10] Ladhyzenskaya, O. A., & N. N. Ural’tseva, On certain classes of nonuniformly elliptic equations. Zap. Nauch. Sem. Leningrad. Otdel Mat. Inst. Steklov 2, 129–149 (1968) (in Russian).
[11] Lasry, J.M., Thèse d’Etat. Paris.
[12] Lions, P.L., Thèse de 3ème cycle. Paris VI. 1978.
[13] Pucci, C., Limitazioni per soluzioni di equationi ellitiche. Ann. Mat. Pura Appl. 74, 15–30 (1966). · Zbl 0144.35801 · doi:10.1007/BF02416445
[14] Serrin, J., The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Phil. Trans. Roy. Soc. London. A. 264, 413–469 (1969). · Zbl 0181.38003 · doi:10.1098/rsta.1969.0033
[15] Serrin, J., Gradient estimates for solutions of nonlinear elliptic and parabolic equations. Contributions to nonlinear functional analysis. (Edit. by E.H. Zarantonello) 565–601. New York: Academic Press 1971.
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