PUBLISHED PAPERS
  1. High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions, Journal of Mathematical Analysis and Applications, 467 (2018) 673-698 [preprint], [link]
  2. Comparison among several planar Fisher-KPP road-field systems, to appear in Springer INdAM Series.
  3. The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary (with L. Rossi and E. Valdinoci), SIAM Journal on Mathematical Analysis, 49 (2017) 4595-4624, [pdf]
  4. Propagation speed in a strip bounded by a line with different diffusion, Journal of Differential Equations, 60 (2016), 5956-5986, [link]
  5. Spiraling bifurcation diagrams in superlinear indefinite problems (with J. López-Gómez and M. Molina-Meyer), Discrete and Continuous Dynamical Systems. Series A, 35 (2015), 1561–1588, [link]
  6. Imperfect bifurcations via topological methods in superlinear indefinite problems, Discrete and Continuous Dynamical Systems. Series A, Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl. (2015), 1050–1059, [link]
  7. Generating an arbitrarily large number of isolas in a superlinear indefinite problem (with J. López-Gómez), Nonlinear Analysis Series A: Theory, Methods & Applications, 108 (2014), 223–248, [link]
  8. Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches (with J. López-Gómez and M. Molina-Meyer), European Journal of Applied Mathematics 25 (2014), 213–229, [link]
  9. High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems (with J. López-Gómez and F. Zanolin), Communications on Pure and Applied Analysis 13 (2014), 1–73, [link]
  10. The uniqueness of the linearly stable positive solution for a class of superlinear indefinite problems with nonhomogeneous boundary conditions (with J. López-Gómez and M. Molina-Meyer), Journal of Differential Equations 255 (2013), 503–523, [link]
REFEREED PROCEEDINGS PAPERS
  1. Intricate bifurcation diagrams for a class of one-dimensional superlinear indefinite problems of interest in population dynamics (with J. López-Gómez and M. Molina-Meyer), Dynamical Systems and Differential Equations, DCDS Supplement 2013 Proceedings of the 9th AIMS International Conference (Orlando, Florida, USA), 515–524, [link]
THESIS
      PhD Thesis, Mathematical analysis and numerical treatment of a class of superlinear indefinite 
                                  boundary value problems of elliptic type [.pdf]
      Universidad Complutense de Madrid, June 2013
       Supervisors: Julián López-Gómez, Marcela Molina-Meyer
       Referees: Duccio Papini, Laurent Véron
       Jury: Jean Mawhin, Paul Rabinowitz, Fabio Zanolin (external members),
                  Carlos Fernández Pérez, Mihaela Negreanu Pruna (internal members)