List of Publications of Mabel Cuesta

1.-"A variational approach to nonresonance with respect to the Fucik spectrum". M. Cuesta and J.P.Gossez ; NonLinear Analysis, Theory, Methods & Applications, vol 19 (5) (1992), pg.487-500. [pdf] 2.- "Etude de la résonance et du spectre de Fucik des opérateurs laplacien et p-laplacien". Doctoral Thesis. Université Libre de Bruxelles, juny 1993. [dvi] 3.- "A nonresonant result with respect to the Fucik spectrum for second order differential equations". M. Cuesta; Partial Differential Equations: models in Physics and Biology , ed. by G. Lumer, Mathematical Research, Volume 82,(1994) Ekademie Verlag. [pdf] 4.-"Strong comparaison principle for the p-laplacian". M. Cuesta, P. Takac : Procc. of the meeting on Reaction-Diffusion systems, Trieste October 1995. Lecture Notes in Pure and Appl. Mathematics (Eds. Caristi-Mitidieri), Marcel Dekker-Inc, vol 194, pg.79-87. [pdf] 5.-"Le spectre de Fucik des opérateurs laplacien et p-laplacien". M. Cuesta; Rapport interne du CEREMATH, Université de Toulouse (1995), 42 pages. [pdf] 6.- "A nonresonant result with respect to the Fucik spectrum for a second order differential equation". M. Cuesta; Journal of Differential and Integral Equations, vol 9, N° 1 (1996), pp.11-26. [pdf] 7.-"Existence results for resonant perturbations of the Fucik spectrum". D.G. Costa and M. Cuesta ; Journal of Topological Methods in NonLinear Analysis, vol 8 (1996), pp.295-314. [pdf] 8.-"Existence results for quasilinear problems via sub and supersolutions". M. Cuesta ; Annales de la Faculté des Sciences de Toulouse, Vol VI, n° 4 (1997), pp.591-608. [pdf] 9.-"Sur le spectre de Fucik du p-laplacien". M. Cuesta D. de Figueiredo and J.P. Gossez ; C.R.Acad.Sci.Paris, t.326, Serie I (1998), pp. 681-684. [pdf] 10.-"Nonresonance to the right of the first eigenvalue for the one dimensional p-Laplacian". M. Cuesta, J.P. Gossez and P.P. Omari ; NonLinear Analysis, TMA (38) 4 (1999) pp. 481-496. [pdf] 11.-"The beginning of the Fucik spectrum for the p-Laplacian". M. Cuesta, D. de Figueiredo and J.P. Gossez ; Journal of Differential Equations, 159 (1999), pp. 212-238. [pdf] 12.-"A Strong Comparaison Principle for Positive Solutions of Degenerate Elliptic Equations". M. Cuesta and P. Takac ; Journal of Differential and Integral Equations, Vol. 13 (4-6) April-June (2000), pp.741-746. [pdf] 13.-"A Strong Comparaison Principle for Positive Solutions of Degenerate quasilinear Equations". M. Cuesta and P. Takac. [pdf] 14.-"A nodal domain property for the p-Laplacian". M. Cuesta D. de Figueiredo and J.P. Gossez ; C.R.Acad.Sci.Paris, t.330, Serie I (2000), pp. 669-673. [pdf] 15.-"A nonresonance result for strongly nonlinear second order ode's". M. Cuesta, and M. Garcia-Huidobro : Advances in Differential Equations, vol 6, n 10, Otober 2001, pp. 1219-1254. [pdf] 16.-"Sur certains problèmes elliptiques asymétriques avec poids indéfinis". M. Arias, J. Campos, M. Cuesta, and J.P. Gossez ; C.R.Acad.Sci.Paris, t. 332, Serie I (2001) pg. 1-4. (2000). [pdf] 17.-"Eigenvalue problems with indefinite weights for the p-laplacian". M. Cuesta ; EJDE, 2001 (2001), pp. 1-9. [pdf] 18.-"Asymmetric elliptic problems with indefinite weights". M. Arias, J. Campos, M. Cuesta, and J.P. Gossez ; Ann. I. H. Poincare-An 19 (2002), pp. 581-616. [pdf] 19.-"On the Fucik spectrum of the Laplacian and the p-Laplacian". M.Cuesta ; Proceeding of the ``2000 Seminar in Differential Equations'' May-June 2000, Kvilda (Republique Tcheque), Drabek (Ed), pg. 35-57. [pdf] 20.-"The Functional Fucik spectrum has empty interior". M. Arias, J. Campos, M. Cuesta and J.P. Gossez ; Proceedings of the Royal Society of Edinburgh, 113 A (2003), pp. 3-10 . [pdf] 21.-"On a resonant-superlinear elliptic problem". M. Cuesta, D. de Figueiredo and P.N. Srikanth ; Calculus of Variations, Partial Differential Equations 17 (2003) 3, pg. 221-233. [pdf] 22.-"Minimax Theorems on C1 manifolds via Ekeland Variational Principle". M. Cuesta ; Abstract and Applied Analysis (2003) 13, pg. 757-768. [pdf] 23.-"Généralisations Nonlinéaires du spectre et applications a` quelques Edp élliptiques". M. Cuesta; Thèse d'HDR. ULCO 2005. [pdf] 24.-"An asymmetric Newmann Problem with weights". M. Arias, J. Campos, M. Cuesta, J.P. Gossez ; Ann. I.H. Poincare An. non li., 25 (2), (2008), 267-280. [pdf] 25.-"A weighted eigenvalue problem for the p-Laplacian plus a potential". M. Cuesta, H. Ramos ; NoDEA Nonlinear Differential Equations Appl. 16 (2009), no. 4, 469-491. [pdf] 26.-"A one side superlinear Ambrosetti- Prodi problem for the Dirichlet p-laplacian”. M. Arias, M. Cuesta ; Journal of Mathematical Analysis and Applications, 367 (2010) 2, 499-507. [pdf] 27.-"Nonlinear eigenvalue problems for degenerate elliptic systems”. M. Cuesta, P. Takac ; Differential and Integral Equations, vol 23 (2010), n. 11-12, 1117-1138. [pdf] 28.-"A Resonant-Superlinear Elliptic Problem Revisited". M. Cuesta, C. De Coster; Advances in NonLinear Studies 13 (2013) 97-114. [pdf] 29.-"Superlinear critical resonant problems with small forcing term". M. Cuesta, C. De Coster ; Cal. of Variations. DOI 10.1007/s00526-014-0788-8 (2014). [pdf] 30.-"Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin–Dirichlet boundary conditions". M. Cuesta, L. Leadi ; J. Math. Anal. Appl. 422 (2015) 1–26. [pdf] 31.- "On abstract indefinite concave–convex problems and applications to quasilinear elliptic equations". M. Cuesta, L. Leadi ; NODEA (2017) 1–31. [pdf] 32.- "Qualitative results for parabolic equations involving the p-Laplacian under dynamical boundary conditions" <\b> J. von Below, M. Cuesta, G. Pincet Maylli; 97-110 [pdf]