Research Group in PDE

Departament de Matemàtiques i Informàtica
Universitat de Barcelona
Gran Via de Les Corts Catalanes 585
08007 Barcelona

The research interests of our group are focused on theoretical aspects of Partial Differential Equations (PDE) and related topics.

We study quite diverse problems, including: elliptic and parabolic PDE, Calculus of Variations, free boundary problems, nonlocal equations, geometric inequalities, and relativistic quantum mechanics. Some of these lines of research have interesting connections to Geometry, Physics, or Probability.

Group Members

• Juan Carlos Cantero (postdoc)

• Albert Clop

• Gyula Csato

• Xavier Ros-Oton

• Tomás Sanz-Perela

• Clara Torres-Latorre (PhD student)

• Marvin Weidner (postdoc)

• Philipp Zimmermann (postdoc)

ERC Grants

• ERC Consolidator Grant 2024-2029
"Stable solutions and nonstandard diffusions: PDE questions arising in mathematical physics"
PI: X. Ros-Oton

• ERC Starting Grant 2019-2024
"Regularity and singularities in elliptic PDE: beyond monotonicity formulas "
PI: X. Ros-Oton

• ERC Starting Grant 2020-2022
"Global existence and Computer-Assisted Proofs of singularities in incompressible fluids, with Applications"
PI: J. Gómez-Serrano