Mabel CUESTA LEON
- Maître de conférences HDR au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Mabel.Cuesta@univ-littoral.fr
- Page internet : https://www.researchgate.net/profile/Maria-Mabel-Cuesta-Leon
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : C120
- Téléphone : +33 3 21 46 36 51
- Adresse :
35 publications 
- Positive Solutions of Elliptic Systems with Superlinear Terms on the Critical Hyperbola ( ), In Milan Journal of Mathematics, Springer Science and Business Media LLC, 2024.
- Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity ( ), In Mathematische Nachrichten, Wiley, 2024.
- Maximum and anti-maximum principle for the fractional $p$-Laplacian with indefinite weights ( ), In J. Math. Anal. Appl., volume 529, 2024. [hal-lmpa]
- Principal eigenvalues for the fractional $p$-Laplacian with unbounded sign-changing weights ( ), In Electron. J. Differential Equations, 2023. [hal-lmpa]
- Positive solutions for slightly subcritical elliptic problems via Orlicz spaces ( ), In Milan J. Math., volume 90, 2022. [hal-lmpa]
- Positive and sign-changing solutions for a quasilinear Steklov nonlinear boundary problem with critical growth ( ), In NoDEA Nonlinear Differential Equations Appl., volume 28, 2021. [hal-lmpa]
- Maximum and antimaximum principles for the $p$-Laplacian with weighted Steklov boundary conditions ( ), In Electron. J. Differential Equations, 2020. [hal-lmpa]
- Bifurcation from the first eigenvalue of the $p$-Laplacian with nonlinear boundary condition ( ), In Electron. J. Differential Equations, 2019. [hal-lmpa]
- Qualitative results for parabolic equations involving the $p$-Laplacian under dynamical boundary conditions ( ), In North-West. Eur. J. Math., volume 4, 2018. [hal-lmpa]
- On abstract indefinite concave-convex problems and applications to quasilinear elliptic equations ( ), In NoDEA Nonlinear Differential Equations Appl., volume 24, 2017.
- Superlinear critical resonant problems with small forcing term ( ), In Calc. Var. Partial Differential Equations, volume 54, 2015. [hal-lmpa]
- Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions ( ), In J. Math. Anal. Appl., volume 422, 2015.
- A resonant-superlinear elliptic problem revisited ( ), In Adv. Nonlinear Stud., volume 13, 2013. [hal-lmpa]
- Nonlinear eigenvalue problems for degenerate elliptic systems ( ), In Differential Integral Equations, volume 23, 2010.
- A one side superlinear Ambrosetti-Prodi problem for the Dirichlet $p$-Laplacian ( ), In J. Math. Anal. Appl., volume 367, 2010.
- A weighted eigenvalue problem for the $p$-Laplacian plus a potential ( ), In NoDEA Nonlinear Differential Equations Appl., volume 16, 2009.
- An asymmetric Neumann problem with weights ( ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 25, 2008.
- Minimax theorems on $C^1$ manifolds via Ekeland variational principle ( ), In Abstr. Appl. Anal., 2003.
- On a resonant-superlinear elliptic problem ( ), In Calc. Var. Partial Differential Equations, volume 17, 2003.
- The functional Fučík spectrum has empty interior ( ), In Proc. Roy. Soc. Edinburgh Sect. A, volume 133, 2003.
- Asymmetric elliptic problems with indefinite weights ( ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 19, 2002.
- A nonresonance result for strongly nonlinear second order ODE's ( ), In Adv. Differential Equations, volume 6, 2001.
- Eigenvalue problems for the $p$-Laplacian with indefinite weights ( ), In Electron. J. Differential Equations, 2001.
- Sur certains problèmes elliptiques asymétriques avec poids indéfinis ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 332, 2001.
- A nodal domain property for the $p$-Laplacian ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 330, 2000.
- A strong comparison principle for positive solutions of degenerate elliptic equations ( ), In Differential Integral Equations, volume 13, 2000.
- The beginning of the Fučik spectrum for the $p$-Laplacian ( ), In J. Differential Equations, volume 159, 1999.
- Nonresonance to the right of the first eigenvalue for the one-dimensional $p$-Laplacian ( ), In Nonlinear Anal., volume 38, 1999.
- Sur le spectre de Fučik du $p$-Laplacien ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 326, 1998.
- A strong comparison principle for the Dirichlet $p$-Laplacian ( ), Chapter in Reaction diffusion systems (Trieste, 1995), Dekker, New York, volume 194, 1998.
- Existence results for quasilinear problems via ordered sub- and supersolutions ( ), In Ann. Fac. Sci. Toulouse Math. (6), volume 6, 1997.
- Existence results for resonant perturbations of the Fučik spectrum ( ), In Topol. Methods Nonlinear Anal., volume 8, 1996.
- A nonresonance result with respect to the Fučik spectrum for a second order differential equation ( ), In Differential Integral Equations, volume 9, 1996.
- A nonresonance result with respect to the Fučík spectrum for a second order differential equation ( ), Chapter in Partial differential equations (Han-sur-Lesse, 1993), Akademie-Verlag, Berlin, volume 82, 1994.
- A variational approach to nonresonance with respect to the Fučik spectrum ( ), In Nonlinear Anal., volume 19, 1992.