@article{AFST_1997_6_6_4_591_0,
author = {Mabel Cuesta Leon},
title = {Existence results for quasilinear problems via ordered sub and supersolutions},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {591--608},
year = {1997},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 6},
number = {4},
doi = {10.5802/afst.880},
mrnumber = {1624298},
zbl = {0910.35055},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.880/}
}
TY - JOUR AU - Mabel Cuesta Leon TI - Existence results for quasilinear problems via ordered sub and supersolutions JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1997 SP - 591 EP - 608 VL - 6 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.880/ DO - 10.5802/afst.880 LA - en ID - AFST_1997_6_6_4_591_0 ER -
%0 Journal Article %A Mabel Cuesta Leon %T Existence results for quasilinear problems via ordered sub and supersolutions %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1997 %P 591-608 %V 6 %N 4 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.880/ %R 10.5802/afst.880 %G en %F AFST_1997_6_6_4_591_0
Mabel Cuesta Leon. Existence results for quasilinear problems via ordered sub and supersolutions. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 6 (1997) no. 4, pp. 591-608. doi: 10.5802/afst.880
[1] ) .- Fixed Point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976), pp. 620-709. | Zbl | MR
[2] ) and ) .- On existence theorems for semilinear elliptic boundary problems, Indiana Univ. Math. J. 27 (1978), pp. 779-789. | Zbl | MR
[3] ), ) and ) .- Résultats d'existence pour certains problèmes elliptiques quasilinéaires, Ann. Scuola Norm. Sup., Pisa, 11 (1984), pp. 213-235. | Numdam | Zbl | MR
[4] ) and ) .- Getting a solution between sub and supersolutions without monotone iterations, Rendiconti dell' Istituto di Matematica dell'Università de Trieste, 19 (1987), pp. 189-194. | Zbl | MR
[5] ) .- Nonlinear P.D.E. and free boundaries, Vol. 1, Elliptic Equations, Pitman Research Notes in Mathematics, 106 (1985). | Zbl | MR
[6] ) and ) .- On the existence of a maximal weak solutions for a semilinear elliptic equation, Diff. and Int. Equations 2, n° 4 (1989), pp. 533-540. | Zbl | MR
[7] ) and ) .- A criterion for the existence of solutions of nonlinear elliptic boundary value problems, Proc. Royal Soc. of Edinburgh A74 (1975), pp. 49-54. | Zbl | MR
[8] ) . - On a second order nonlinear elliptic boundary value problem, Non Linear Analysis (ed. by L. Cesari, R. Kannan and H. F. Weinberger), Academic Press, New York (1978), pp. 99-107. | Zbl | MR
[9] ) .- Schrodinger operators with singular potentials, Israel J. Math. 13 (1972), pp. 135-148. | Zbl | MR
[10] ) .- The weak subsolution-supersolution method for second order quasilinear equations, Hiroshima Math. J. 19 (1989), pp. 1-36. | Zbl | MR
[11] ) and ) .- Existence of a maximal solution for quasimonotone elliptic systems, Diff. and Int. Equations, 7, n° 6 (1994), pp. 1495-1510. | Zbl | MR
[12] ) .- Introduction to the Theory of NonLinear Elliptic Equations, John Wiley & Sons (1983). | Zbl
[13] ) .- On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. P.D.E. 8, n° 7 (1983), pp. 773-817. | Zbl | MR
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