A note on the solvability of nonlinear elliptic problems with jumping nonlinearities
Donati, Flavio
Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985), p. 455-466 / Harvested from Czech Digital Mathematics Library
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Publié le : 1985-01-01
Classification:  35A05,  35J65,  47H15 
@article{106386,
     author = {Flavio Donati},
     title = {A note on the solvability of nonlinear elliptic problems with jumping nonlinearities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {026},
     year = {1985},
     pages = {455-466},
     zbl = {0612.35054},
     mrnumber = {817820},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106386}
}

Donati, Flavio. A note on the solvability of nonlinear elliptic problems with jumping nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985) pp. 455-466. http://gdmltest.u-ga.fr/item/106386/

Adimurthi; P. N. Srikanth On exact number of solutions at infinity for Ambrosetti-Prodi class of problems, preprint.

A. Ambrosetti Elliptic equations with jumping nonlinearities, preprint. | MR 0755462 | Zbl 0589.35043

A. Ambrosetti; G. Prodi On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl. 93 (1972), 231-246. (1972) | MR 0320844 | Zbl 0288.35020

V. Capagna; F. Donati On the sign of the solutions to some semilinear Dirichlet problems, Proc. Roy. Soc. Edinburgh, to appear. | MR 0807547

E. N. Dancer On the Dirichlet problem for weakly non-linear elliptic partial differential equations, Proc. Roy. Soc. Edinburgh 76A (1977), 283-300. (1977) | MR 0499709 | Zbl 0351.35037

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. (1980)

S. Fučík Boundary value problems with jumping nonlinearities, Časopis Pěst. Mat. 101 (1976), 69-87. (1976) | MR 0447688

S. Fučík; A. Kufner Nonlinear differential equations, Elsevier, Amsterdam, 1980. (1980) | MR 0558764

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. (1981) | MR 0658734 | Zbl 0495.35001

T. Kato Perturbation theory for linear operators, Springer-Verlag, New York, 1966. (1966) | MR 0203473 | Zbl 0148.12601

L. Nirenberg Topics in nonlinear functional analysis, Lecture Notes, Courant Institute, New York, 1974. (1974) | MR 0488102 | Zbl 0286.47037

E. Podolak On the range of operator eolations with an asymptotically nonlinear terms, Indiana Univ. Math. J. 25 - 12 (1976), 1127-1137. (1976) | MR 0425698

B. Ruf On nonlinear elliptic problems with jumping nonlinearities, Ann. Mat. Pura Appl. 128 (1981),133-151. (1981) | MR 0640779 | Zbl 0475.35046

S. Solimini Some remarks on the number of solutions of some nonlinear elliptic problems, preprint. | MR 0794004 | Zbl 0583.35044