PUBLISHED PAPERS
  1. Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations (with P. Cubillos and J. López-Gómez), to appear in Commun. Nonlinear Sci. Numer. Simul., 125 (2023) Article Number 107389, [link]
  2. Multiplicity of nodal solutions in classical non-degenerate logistic equations (with P. Cubillos and J. López-Gómez), Electronic Research Archive, 30 (2022) 898-928, [link]
  3. On the number of positive solutions to an indefinite parameter-dependent Neumann problem (with G. Feltrin and E. Sovrano), Discrete and Continuous Dynamical Systems, 42 (2022) 21-71, [preprint], [link]
  4. Propagation for KPP bulk-surface systems in general cylindrical domains (with B. Bogosel and T. Giletti), Nonlinear Analysis, 213 (2021) Article number 112528 42 pages, [preprint], [link]
  5. Numerical global bifurcation diagrams for a superlinear indefinite problem with a parameter appearing in the domain, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 52 (2020) 289-309, [link]
  6. Relaxation of a scalar nonlocal variational problem with a double-well potential (with C. Mora-Corral), Calculus of Variations and Partial Differential Equations, 59 Article number: 67 (2020), [preprint], [link]
  7. Comparison among several planar Fisher-KPP road-field systems, in Springer INdAM Series, vol. 33, Serena Dipierro Editor, 2019, 481-500, [preprint], [link]
  8. 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]
  9. 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]
  10. Propagation speed in a strip bounded by a line with different diffusion, Journal of Differential Equations, 60 (2016), 5956-5986, [link]
  11. 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]
  12. 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]
  13. 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]
  14. 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]
  15. 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. Imperfect bifurcations via topological methods in superlinear indefinite problems, Dynamical Systems and Differential Equations, AIMS Proceedings 2015, Proceedings of the 10th AIMS Conference (2015), 1050–1059, [link]
  2. 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]
PREPRINTS
  1. Coupled reaction-diffusion equations on adjacent domains (with H. Berestycki and L. Rossi), [link]
  2. High multiplicity of positive solutions in a superlinear problem of Moore-Nehari type (with P. Cubillos and J. López-Gómez), [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)