Biography
I hold a PhD in Physics and Mathematics from the University of Granada (2017).
I have been an Associate Professor since 2026.
My research focuses on nonlinear analysis and elliptic partial differential equations, motivated by differential geometry and mathematical physics.
Useful information
- Co-PI of the research project Nonlinear Analysis and Geometric PDEs , funded by the Spanish State Research Plan.
- Differential Equations Seminar at the University of Granada–IMAG.
Publications
Preprints
- López-Soriano, R., Reyes-Sánchez, F. J., Ruiz, D. Conformal Metrics on the Disk with Prescribed Negative Gaussian Curvature and Boundary Geodesic Curvature, arXiv:2602.15471.
Selected articles
- De Marchis, F., López-Soriano, R. Existence and Non Existence Results for the singular Nirenberg problem, Calc. Var. Partial Differential Equations, 55 (2016), no. 2, Art. 36, 35 pp.
- De Marchis, F., López-Soriano, R., Ruiz, D. Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials, J. Math. Pures Appl. (9), 115 (2018), 237–267.
- Battaglia, L., López-Soriano, R. A double mean field equation related to a curvature prescription problem, J. Differential Equations, 269 (2020), no. 4, 2705–2740.
- Colorado, E., López-Soriano, R., Ortega, A. Existence of bound and ground states for an elliptic system with double criticality, Nonlinear Anal., 216 (2022), Paper No. 112730.
- Jevnikar, A., López-Soriano, R., Medina, M., Ruiz, D. Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures, Anal. PDE, 15 (2022), no. 8, 1897–1931.
- López-Soriano, R., Malchiodi, A., Ruiz, D. Conformal metrics with prescribed Gaussian and geodesic curvatures, Ann. Sci. Éc. Norm. Supér., 55 (2022), no. 5, 1289–1328.
- Esposito, F., López-Soriano, R., Sciunzi, B. Classification of solutions to Hardy-Sobolev Doubly Critical Systems, J. Math. Pures Appl., 189 (2024), 103595.
- Arroyo, A., López-Soriano, R., Ortega, A. Existence of solutions for a system with general Hardy--Sobolev singular criticalities, Calc. Var. Partial Differential Equations, 64 (2025), no. 4, Paper No. 131.
- Battaglia, L., López-Soriano, R. A mean field problem approach for the double curvature prescription problem, Commun. Contemp. Math., 27 (2025), no. 8, Paper No. 2550008, 22 pp.
Teaching (Academic year 2026/2027)
- Mathematical Analysis — Groups A and B — Bachelor's Degree in Telecommunication Technologies Engineering — Course guide
- Mathematical Methods (in English) — Group B — Bachelor's Degree in Physics — Course guide
Tutorials
On-site office hours:
- Tuesday and Wednesday: 10:30–11:30 — Office 17, third floor, ETSIIT
- Tuesday: 15:00–18:00 — Office 21, Department of Mathematical Analysis, Faculty of Sciences
Appointments: preferably by email.
Contact
Email: ralopezs@ugr.es
ORCID: 0000-0003-4345-4099
ResearchGate: ResearchGate profile