@article{AIHPC_1985__2_2_143_0,
author = {Solimini, Sergio},
title = {Some remarks on the number of solutions of some nonlinear elliptic problems},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {143--156},
year = {1985},
publisher = {Gauthier-Villars},
volume = {2},
number = {2},
mrnumber = {794004},
zbl = {0583.35044},
language = {en},
url = {https://www.numdam.org/item/AIHPC_1985__2_2_143_0/}
}
TY - JOUR AU - Solimini, Sergio TI - Some remarks on the number of solutions of some nonlinear elliptic problems JO - Annales de l'I.H.P. Analyse non linéaire PY - 1985 SP - 143 EP - 156 VL - 2 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPC_1985__2_2_143_0/ LA - en ID - AIHPC_1985__2_2_143_0 ER -
Solimini, Sergio. Some remarks on the number of solutions of some nonlinear elliptic problems. Annales de l'I.H.P. Analyse non linéaire, Tome 2 (1985) no. 2, pp. 143-156. https://www.numdam.org/item/AIHPC_1985__2_2_143_0/
[1] and , On the inversion of some differential mapping with singularities between Babach spaces. Ann. Mat. Pura Appl., t. 93, 1973, p. 231-247. | Zbl | MR
[2] and , On the solutions of a nonlinear Dirichlet Problem. Indiana Univ. Math. J., t. 24, 1975, p. 837-846. | Zbl | MR
[3] , Remarks on a result by A. AMBROSETTI and G. PRODI. Boll. U. M. I., t. 11, 1975, p. 259-267. | Zbl | MR
[4] , Le nombre de solutions de certains problèmes semilinéaires elliptiques. J. Funct. An., t. 40, 1981, p. 1-29. | Zbl | MR
[5] and , Remarks on some quasilinear elliptic equations. Comm. Pure. Appl. Math., t. 28, 1975, p. 567-597. | Zbl | MR
[6] , On the ranges of certain weakly nonlinear elliptic partial differential equations. J. Math. Pures et Appl., t. 57, 1978, p. 351-366. | Zbl | MR
[7] and , A multiplicity result for a class of elliptic boundary value problems. Proc. Ac. Soc. Ed., t. 84 A, 1979, p. 145-151. | Zbl | MR
[8] , On the superlinear Ambrosetti-Prodi problems. Nonlin. An. TMA, t. 8, 1984, p. 655-665. | Zbl | MR
[9] and , A variational approach to superlinear elliptic problems. Comm. PDE, t. 9, 1984, p. 699. | Zbl | MR
[10] and , On the number of solutions of a nonlinear Dirichlet problem. J. of Math. Analysis and Applications, t. 84, 1981, p. 282-294. | Zbl | MR
[11] , Existence of a third solution for a class of b. v. p. with jumping non-linearities. Nonlin. An. TMA t. 7, no. 8, 1983, p. 917-927. | Zbl | MR
[12] , Elliptic equations with jumping nonlinearities. J. Math. Phys. Sci. (to appear). | Zbl | MR
[13] , Variational and topological methods in partially ordered Hilbert spaces. Math. Annalen, t. 261, 1982, p. 493-514. | Zbl | MR
[14] and , Some multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. J. Math. Analysis and Applications (to appear). | Zbl | MR
[15] and , On a conjecture related to the number of the solutions of a nonlinear Dirichlet problem, to appear Proc. Roy. Soc. Edinburgh. | Zbl
[16] , On the range operator equations with an asymptotically nonlinear term. Indiana Univ. Math. J., t. 25, 1976, p. 1127-1137. | Zbl | MR
[17] and , Résultats d'existence et de non existence de solutions pour certains problèmes demi-linéaires à l'infini. Ann. Fac. Sc. de Toulouse, 1981. | Zbl | Numdam
[18] , On nonlinear elliptic problems with jumping nonlinearities. Ann. Mat. Pure e Appl. Serie IV, t. CXXVIII, 1981, p. 133-151. | Zbl | MR
[19] and , On the exact number of solutions at infinity for Ambrosetti-Prodi class of problems, preprint.
[20] , Multiplicity results for a nonlinear Dirichlet problem. Proc. Royal Soc. Edinburgh, t. 96 A, 1984. | Zbl | MR
[21] and , Multiplicity results for a semi-linear boundary value problem with the nonlinearity crossing higher eigenvalues, preprint. | MR
[22] and , An introduction to variational inequalities and their applications, Academic Press, 1980. | Zbl | MR
[23] , On the Dirichlet problem for weakly nonlinear elliptic partial differential equations. Proc. Roy. Soc. Edinburgh, t. 76 A, 1977, p. 283-300. | Zbl | MR
[24] , Topological methods in the theory of nonlinear integral equations. Pergamon Press, 1964. | Zbl
[25] and , Un'estensione della teoria variazionale classica degli autovalori per operatori ellittici del secondo ordine. Boll. U. M. I., t. 7, 1973, p. 285-301. | Zbl | MR
[26] and , Dual variational methods in critical point theory and applications. J. Funct. Analysis, t. 14, 1973, p. 349-381. | Zbl | MR






