L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Mabel Cuesta

• Grade : Maître de Conférences
• Equipe : Analyse
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais
• Bureau : C120
• Email : Mabel.Cuesta@univ-littoral.fr
• Téléphone : 03.21.46.36.51
• Page personnelle : http://www-lmpa.univ-littoral.fr/~cuesta/

## Publications

### Articles de revues

1. Qualitative results for parabolic equations involving the $p$-Laplacian under dynamical boundary conditions (, and ), In North-West. Eur. J. Math., volume 4, 9-7, .
2. On abstract indefinite concave-convex problems and applications to quasilinear elliptic equations ( and ), In NoDEA Nonlinear Differential Equations Appl., volume 24, 20-31, . [pdf]
3. Superlinear critical resonant problems with small forcing term ( and ), In Calc. Var. Partial Differential Equations, volume 54, 349-363, . [pdf]
4. Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions ( and ), In J. Math. Anal. Appl., volume 422, 1-26, . [pdf]
5. A resonant-superlinear elliptic problem revisited ( and ), In Adv. Nonlinear Stud., volume 13, 97-114, . [pdf]
6. Nonlinear eigenvalue problems for degenerate elliptic systems (), In Differential Integral Equations, volume 23, 1117-1138, .
7. A one side superlinear Ambrosetti-Prodi problem for the Dirichlet $p$-Laplacian ( and ), In J. Math. Anal. Appl., volume 367, 499-507, . [pdf]
8. A weighted eigenvalue problem for the $p$-Laplacian plus a potential ( and ), In NoDEA Nonlinear Differential Equations Appl., volume 16, 469-491, . [pdf]
9. A weighted eigenvalue problem for the $p$-Laplacian plus a potential ( and ), In NoDEA Nonlinear Differential Equations Appl., volume 16, 469-491, . [pdf]
10. An asymmetric Neumann problem with weights (, , and ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 25, 267-280, . [pdf]
11. Minimax theorems on $C^1$ manifolds via Ekeland variational principle (), In Abstr. Appl. Anal., 757-768, . [pdf]
12. On a resonant-superlinear elliptic problem (, and ), In Calc. Var. Partial Differential Equations, volume 17, 221-233, .
13. The functional Fu\v cí k spectrum has empty interior (, , and ), In Proc. Roy. Soc. Edinburgh Sect. A, volume 133, 3-10, . [pdf]
14. Asymmetric elliptic problems with indefinite weights (, and ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 19, 581-616, . [pdf]
15. A nonresonance result for strongly nonlinear second order ODE's ( and ), In Adv. Differential Equations, volume 6, 1219-1254, .
16. Eigenvalue problems for the $p$-Laplacian with indefinite weights (), In Electron. J. Differential Equations, 33-9, .
17. Sur certains problèmes elliptiques asymétriques avec poids indéfinis (, and ), In C. R. Acad. Sci. Paris Sér. I Math., volume 332, 215-218, . [pdf]
18. A nodal domain property for the $p$-Laplacian (, and ), In C. R. Acad. Sci. Paris Sér. I Math., volume 330, 669-673, . [pdf]
19. A strong comparison principle for positive solutions of degenerate elliptic equations (), In Differential Integral Equations, volume 13, 721-746, .
20. The beginning of the Fu\v cik spectrum for the $p$-Laplacian (, and ), In J. Differential Equations, volume 159, 212-238, . [pdf]
21. Nonresonance to the right of the first eigenvalue for the one-dimensional $p$-Laplacian (, and ), In Nonlinear Anal., volume 38, 481-496, . [pdf]
22. Sur le spectre de Fu\v cik du $p$-Laplacien (, and ), In C. R. Acad. Sci. Paris Sér. I Math., volume 326, 681-684, . [pdf]
23. Existence results for resonant perturbations of the Fu\v cik spectrum ( and ), In Topol. Methods Nonlinear Anal., volume 8, 295-314, .
24. A variational approach to nonresonance with respect to the Fu\v cik spectrum ( and ), In Nonlinear Anal., volume 19, 487-500, . [pdf]

### Chapitres de livres

1. A strong comparison principle for the Dirichlet $p$-Laplacian ( and ), Chapter in Reaction diffusion systems (Trieste, 1995), Dekker, volume 194, 79-87, .

### Rapports

1. On abstract indefinite concave-convex problems and applications quasilinear elliptic equations ( and ), Technical report 525, LMPA, .
2. Wieightet Eingenvalue Problems for Quasilinear Elliptic Operators with Mixed Robin-Dirichlet Boundary Conditions ( and ), Technical report 502, LMPA, .
3. A Resonant-Superlinear Elliptic Problem Revisited ( and ), Technical report 480, LMPA, .
4. Nonlinear Eigenvalue Problems for Degenerate Elliptic Systems ( and ), Technical report 419, LMPA, .
5. A One Side Superlinear Ambrosetti-Prodi Problem For The Dirichlet p-Laplacian ( and ), Technical report 406, LMPA, .
6. A Weighted Eingenvalue Problem for the P-Laplacian Plus a Potential ( and ), Technical report, LMPA, .
7. An Asymmetric Neumann Problem with Weights (, , and ), Technical report, LMPA, .
8. On a Resonant-Superlinear Elliptic Problem (, and ), Technical report, LMPA, .
9. The functional Fu\v cik spectrum has empty interior (, , and ), Technical report, LMPA, .
10. On the Fu\v cik spectrum of the laplacian and the p-laplacian (), Technical report, LMPA, .
11. Asymmetric elliptic problems with indefinite weights (, , and ), Technical report, LMPA, .
12. Minimax theorems on C1 manifolds via Ekeland variational principle (), Technical report, LMPA, .
13. A nonresonance result for strongly nonlinear second order ode's ( and ), Technical report, LMPA, .
14. Sur certains problèmes elliptiques asymétriques avec poids indéfinis (, , and ), Technical report, LMPA, .
15. A nodal domain property for the p-Laplacian (, and ), Technical report, LMPA, .
16. The beginning of the Fucik spectrum for the p-Laplacian (, and ), Technical report, LMPA, .
17. A strong comparison principle for positive solutions of degenerate elliptic equations ( and ), Technical report, LMPA, .

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