@article{AFST_1986-1987_5_8_3_375_0,
author = {Th\'elin, Fran\c cois de},
title = {R\'esultats d'existence et de non-existence pour la solution positive et born\'ee d'une e.d.p. elliptique non lin\'eaire},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {375--389},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {5e s{\'e}rie, 8},
number = {3},
year = {1986-1987},
doi = {10.5802/afst.646},
zbl = {0655.35017},
mrnumber = {948761},
language = {fr},
url = {https://afst.centre-mersenne.org/item/AFST_1986-1987_5_8_3_375_0/}
}
François de Thélin. Résultats d'existence et de non-existence pour la solution positive et bornée d'une e.d.p. elliptique non linéaire. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 8 (1986-1987) no. 3, pp. 375-389. doi : 10.5802/afst.646. https://afst.centre-mersenne.org/item/AFST_1986-1987_5_8_3_375_0/
[1] ) .- Sobolev Spaces, Academic Press, 1975. | MR 450957 | Zbl 0314.46030
[2] . - A criterion for the existence of solutions of nonlinear elliptic boundary value problems, Proc. Royal Soc. Edimburgh A, vol. 74, 1975, p. 49-54. | MR 440191 | Zbl 0331.35028
[3] ) .- Nonlinear partial differential equations and free boundaries, I-Elliptic equations, Pitmann n° 106, 1985. | MR 853732 | Zbl 0595.35100
[4] .- Uniqueness of non-negative solutions for elliptic nonlinear diffusion equations with a general perturbation term, Proc. VII - Cedya, Santander, 1985.
[5] ) .- Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, 1969. | MR 259693 | Zbl 0189.40603
[6] .- Nonexistence theorems for quasilinear partial differential equations, Rendiconti Circolo Mat. Palermo, Suppl. Studies. | Zbl 0625.35028
[7] .- Existence and nonexistence theorems for ground states for quasilinear partial differential equations, Proc. Acad. Lincei (à paraître).
[8] .- Nonexistence theorems for singular solutions of quasilinear partial differential equations, Comm. Pure Appl Math, 34, 1986, p. 379-399. | MR 829846 | Zbl 0602.35031
[9] .- Variational and topological method in nonlinear problems, Bulletin of the A.M.S., vol. 4 n° 3, 1981, p. 267-302. | MR 609039 | Zbl 0468.47040
[10] ) . - On certain second order ordinary differential equations associated with Sobolev - Poincaré - type inequalities, Nonlinear Analysis T.M.A. n° 8, 1984, p. 1255-1270. | MR 764911 | Zbl 0559.35028
[11] ) . - A remark on certain nonlinear elliptic equations, Proc. Fac. Sci. Tokai Univ. n° 19, 1984, p. 23-28. | MR 753635 | Zbl 0559.35027
[12] ) . - Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations, J. Functional Analysis, vol. 76 n°1, 1988, p. 140-159. | MR 923049 | Zbl 0662.35047
[13] ) . - Eigenfunctions of the equation Δu + λf(u) = 0, Soviet. Math. Dokl.. n° 6, 1965, p. 1408-1411. | MR 192184 | Zbl 0141.30202
[14] ). - Sur des équations aux dérivées partielles non-linéaires, Thèse, Paris, 1977.
[15] ) . - The energy method in non linear partial differential equations, Notas de Matematica n°47, Rio de Janeiro, 1969. | MR 273170 | Zbl 0233.35001
[16] ) .- Local regularity properties for the solutions of a nonlinear partial differential equation, Nonlinear Analysis T.M.A. vol. 6 n° 8, 1982, p. 839-844. | MR 671725 | Zbl 0493.35021
[17] ) .- Quelques résultats d'existence et de non existence pour une E.D.P. elliptique non linéaire, C.R. Acad. Sc. Paris, t. 299, série I n° 18, 1984, p. 911-914. | MR 774666 | Zbl 0575.35030
[18] ) .- Sur l'espace propre associé à la première valeur propre du pseudo-laplacien, C.R. Acad. Sc. Paris, t. 303, série I, n° 8, 1986, p. 355-357. | MR 860838 | Zbl 0598.35045
[19] ) . - On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. P.D.E., n° 8, 1983, p. 773-817. | MR 700735 | Zbl 0515.35024
[20] ) .- A strong maximum principle for somme quasilinear elliptic equations, Appl. Math. and Optimization n° 12, 1984, p. 191-202. | MR 768629 | Zbl 0561.35003