Mabel Cuesta

• Grade : Maître de Conférences
• Equipe : Analyse
• Adresse :
  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 (von Below, Joachim, Cuesta, Mabel and Pincet, Gaëlle Mailly), In North-West. Eur. J. Math., volume 4, 9-7, 2018.
2. On abstract indefinite concave-convex problems and applications to quasilinear elliptic equations (Cuesta, Mabel and Leadi, Liamidi), In NoDEA Nonlinear Differential Equations Appl., volume 24, 20-31, 2017. [pdf]
3. Superlinear critical resonant problems with small forcing term (Cuesta, Mabel and De Coster, Colette), In Calc. Var. Partial Differential Equations, volume 54, 349-363, 2015. [pdf]
4. Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions (Cuesta, Mabel and Leadi, Liamidi), In J. Math. Anal. Appl., volume 422, 1-26, 2015. [pdf]
5. A resonant-superlinear elliptic problem revisited (Cuesta, Mabel and De Coster, Colette), In Adv. Nonlinear Stud., volume 13, 97-114, 2013. [pdf]
6. Nonlinear eigenvalue problems for degenerate elliptic systems (Cuesta, Mabel), In Differential Integral Equations, volume 23, 1117-1138, 2010.
7. A one side superlinear Ambrosetti-Prodi problem for the Dirichlet $p$-Laplacian (Arias, Margarita and Cuesta, Mabel), In J. Math. Anal. Appl., volume 367, 499-507, 2010. [pdf]
8. A weighted eigenvalue problem for the $p$-Laplacian plus a potential (Cuesta, Mabel and H. Ramos Quoirin), In NoDEA Nonlinear Differential Equations Appl., volume 16, 469-491, 2009. [pdf]
9. A weighted eigenvalue problem for the $p$-Laplacian plus a potential (Cuesta, Mabel and Ramos Quoirin, Humberto), In NoDEA Nonlinear Differential Equations Appl., volume 16, 469-491, 2009. [pdf]
10. An asymmetric Neumann problem with weights (Arias, Margarita, Campos, Juan, Cuesta, Mabel and Gossez, J.-P.), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 25, 267-280, 2008. [pdf]
11. Minimax theorems on $C^1$ manifolds via Ekeland variational principle (Cuesta, Mabel), In Abstr. Appl. Anal., 757-768, 2003. [pdf]
12. On a resonant-superlinear elliptic problem (Cuesta, Mabel, de Figueiredo, Djairo G. and Srikanth, P. N.), In Calc. Var. Partial Differential Equations, volume 17, 221-233, 2003.
13. The functional Fu\v cí k spectrum has empty interior (Arias, Margarita, Campos, Juan., Cuesta, Mabel and Gossez, J.-P.), In Proc. Roy. Soc. Edinburgh Sect. A, volume 133, 3-10, 2003. [pdf]
14. Asymmetric elliptic problems with indefinite weights (Arias, Margarita.and Campos, Juan, Cuesta, Mabel and Gossez, J.-P.), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 19, 581-616, 2002. [pdf]
15. A nonresonance result for strongly nonlinear second order ODE's (Cuesta, Mabel and Garcia-Huidobro, Marta), In Adv. Differential Equations, volume 6, 1219-1254, 2001.
16. Eigenvalue problems for the $p$-Laplacian with indefinite weights (Cuesta, Mabel), In Electron. J. Differential Equations, 33-9, 2001.
17. Sur certains problèmes elliptiques asymétriques avec poids indéfinis (Arias, Margarita, Campos, Juan and Cuesta, Mabel and Gossez, Jean-Pierre), In C. R. Acad. Sci. Paris Sér. I Math., volume 332, 215-218, 2001. [pdf]
18. A nodal domain property for the $p$-Laplacian (Cuesta, Mabel, De Figueiredo, Djairo G. and Gossez, J.P.), In C. R. Acad. Sci. Paris Sér. I Math., volume 330, 669-673, 2000. [pdf]
19. A strong comparison principle for positive solutions of degenerate elliptic equations (Cuesta, Mabel), In Differential Integral Equations, volume 13, 721-746, 2000.
20. The beginning of the Fu\v cik spectrum for the $p$-Laplacian (Cuesta, Mabel, de Figueiredo, D. and Gossez, J.-P.), In J. Differential Equations, volume 159, 212-238, 1999. [pdf]
21. Nonresonance to the right of the first eigenvalue for the one-dimensional $p$-Laplacian (Cuesta, Mabel, Gossez, Jean-Pierre and Omari, Pierpaolo), In Nonlinear Anal., volume 38, 481-496, 1999. [pdf]
22. Sur le spectre de Fu\v cik du $p$-Laplacien (Cuesta, Mabel, de Figueiredo, Djairo G. and Gossez, Jean-Pierre), In C. R. Acad. Sci. Paris Sér. I Math., volume 326, 681-684, 1998. [pdf]
23. Existence results for resonant perturbations of the Fu\v cik spectrum (Costa, David G. and Cuesta, Mabel), In Topol. Methods Nonlinear Anal., volume 8, 295-314, 1996.
24. A variational approach to nonresonance with respect to the Fu\v cik spectrum (Cuesta, Mabel and Gossez, Jean-Pierre), In Nonlinear Anal., volume 19, 487-500, 1992. [pdf]

Chapitres de livres

1. A strong comparison principle for the Dirichlet $p$-Laplacian (Cuesta, Mabel and Takac, Peter), Chapter in Reaction diffusion systems (Trieste, 1995), Dekker, volume 194, 79-87, 1998.

Rapports

1. On abstract indefinite concave-convex problems and applications quasilinear elliptic equations (M. Cuesta and Liamidi Leadi), Technical report 525, LMPA, 2016.
2. Wieightet Eingenvalue Problems for Quasilinear Elliptic Operators with Mixed Robin-Dirichlet Boundary Conditions (M. Cuesta and L. Leadi), Technical report 502, LMPA, 2014.
3. A Resonant-Superlinear Elliptic Problem Revisited (M. Cuesta and C. De Coster), Technical report 480, LMPA, 2012.
4. Nonlinear Eigenvalue Problems for Degenerate Elliptic Systems (M. Cuesta and P. Takac), Technical report 419, LMPA, 2010.
5. A One Side Superlinear Ambrosetti-Prodi Problem For The Dirichlet p-Laplacian (M. Arias and M. Cuesta), Technical report 406, LMPA, 2009.
6. A Weighted Eingenvalue Problem for the P-Laplacian Plus a Potential (M. Cuesta and H. Ramos Quoirin), Technical report, LMPA, 2008.
7. An Asymmetric Neumann Problem with Weights (M. Arias, J. Campos, M. Cuesta and J-P. Gossez), Technical report, LMPA, 2006.
8. On a Resonant-Superlinear Elliptic Problem (M. Cuesta, D.G. de Figueiredo and P.N. Srikanth), Technical report, LMPA, 2002.
9. The functional Fu\v cik spectrum has empty interior (M. Arias, J. Campos, M. Cuesta and J-P. Gossez), Technical report, LMPA, 2001.
10. On the Fu\v cik spectrum of the laplacian and the p-laplacian (M. Cuesta), Technical report, LMPA, 2001.
11. Asymmetric elliptic problems with indefinite weights (M. Arias, J. Campos, M. Cuesta and J.-P. Gossez), Technical report, LMPA, 2000.
12. Minimax theorems on C1 manifolds via Ekeland variational principle (M. Cuesta), Technical report, LMPA, 2000.
13. A nonresonance result for strongly nonlinear second order ode's (M. Cuesta and M. Garcia-Huidobro), Technical report, LMPA, 2000.
14. Sur certains problèmes elliptiques asymétriques avec poids indéfinis (M. Arias, J. Campos, M. Cuesta and J.-P. Gossez), Technical report, LMPA, 2000.
15. A nodal domain property for the p-Laplacian (M. Cuesta, D. de Figueiredo and J.-P. Gossez), Technical report, LMPA, 2000.
16. The beginning of the Fucik spectrum for the p-Laplacian (M. Cuesta, D.G. De Figueiredo and J.P. Gossez), Technical report, LMPA, 1998.
17. A strong comparison principle for positive solutions of degenerate elliptic equations (M. Cuesta and P.Takác), Technical report, LMPA, 1998.