A note on the solvability of nonlinear elliptic problems with jumping nonlinearities
Commentationes Mathematicae Universitatis Carolinae, Tome 26 (1985) no. 3, pp. 455-466 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Donati, Flavio. A note on the solvability of nonlinear elliptic problems with jumping nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 26 (1985) no. 3, pp. 455-466. http://geodesic.mathdoc.fr/item/CMUC_1985_26_3_a2/

[1] ADIMURTHI, P. N. SRIKANTH: On exact number of solutions at infinity for Ambrosetti-Prodi class of problems. preprint.

[2] A. AMBROSETTI: Elliptic equations with jumping nonlinearities. preprint. | MR | Zbl

[3] A. AMBROSETTI, G. PRODI: On the inversion of some differentiable mappings with singularities between Banach spaces. Ann. Mat. Pura Appl. 93 (1972), 231-246. | MR | Zbl

[4] V. CAPAGNA, F. DONATI: On the sign of the solutions to some semilinear Dirichlet problems. Proc. Roy. Soc. Edinburgh, to appear. | MR

[5] E. N. DANCER: On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Proc. Roy. Soc. Edinburgh 76A (1977), 283-300. | MR | Zbl

[6] D. G. DE FIGUEIREDO: Lectures on boundary value problems of the Ambrosetti-Prodi type. Atas do 12" Seminário Brasileiro de Análise, Sào Paulo (1980), 230-292.

[7] S. FUČÍK: Boundary value problems with jumping nonlinearities. Časopis Pěst. Mat. 101 (1976), 69-87. | MR

[8] S. FUČÍK, A. KUFNER: Nonlinear differential equations. Elsevier, Amsterdam, 1980. | MR

[9] T. GALLOUËT, O. KAVIAN: Résultats d 'existence et de non-existence pour certains problèmes demi-lineàires a l'infini. Ann. Fac. Sc. Toulouse 3 (1981), 201-246. | MR | Zbl

[10] T. KATO: Perturbation theory for linear operators. Springer-Verlag, New York, 1966. | MR | Zbl

[11] L. NIRENBERG: Topics in nonlinear functional analysis. Lecture Notes, Courant Institute, New York, 1974. | MR | Zbl

[12] E. PODOLAK: On the range of operator eolations with an asymptotically nonlinear terms. Indiana Univ. Math. J. 25 - 12 (1976), 1127-1137. | MR

[13] B. RUF: On nonlinear elliptic problems with jumping nonlinearities. Ann. Mat. Pura Appl. 128 (1981),133-151. | MR | Zbl

[14] S. SOLIMINI: Some remarks on the number of solutions of some nonlinear elliptic problems. preprint. | MR | Zbl