Email: xavier.cabre AT upc.edu

Available papers (9):

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• X. Cabré - E. Cinti - J. Serra (Submitted Paper)
  Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime (2021)
• X. Cabré - M. Cozzi - G. Csato (preprint)
  A fractional Michael-Simon Sobolev inequality on convex hypersurfaces (2020)
• X. Cabré - A. Figalli - X. Ros-Oton - J. Serra (Acta Math.)
  Stable solutions to semilinear elliptic equations are smooth up to dimension 9 (2020)
• X. Cabré - G. Poggesi (preprint)
  Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions (2018)
• X. Cabré - E. Cinti - J. Serra (Accepted Paper: J. Reine Angew. Math. (Crelle's Journal).)
  Stable $s$-minimal cones in $\mathbb R^3$ are flat for $s\sim 1$ (2017)
• X. Cabré - E. Cinti (Accepted Paper: Calc. Var. Partial Differential Equations)
  Sharp energy estimates for nonlinear fractional diffusion equations (2012)
• X. Cabré - E. Cinti (Discrete Contin. Dyn. Syst.)
  Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian (2010)
• G. Alberti - L. Ambrosio - X. Cabré (Acta Appl. Math.)
  On a long standing conjecture of E. De Giorgi: old and recent results (2000)
• L. Ambrosio - X. Cabré (Journal of the AMS)
  Entire Solutions of a Semilinear Elliptic Equation in ${\mathcal R}^3$ and a Conjecture of De Giorgi (2000)

Speaker:

• 23 oct 2024 - 25 oct 2024: Nonlinear partial differential equations in Salzburg
• 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
• 30 may 2022 - 3 jun 2022: Mostly Maximum Principle
• 27 may 2019 - 30 may 2019: Analytic and Geometric Aspects of PDEs
• 4 jun 2018 - 8 jun 2018: Recent advances in Geometric Analysis
• 19 jun 2017 - 23 jun 2017: Geometry of PDE's and related problems
• 19 sep 2016 - 23 sep 2016: A Mathematical Tribute to Ennio De Giorgi
• 20 jul 2015 - 24 jul 2015: Summer school on Nonlinear PDE's and applications to Image Analysis. A scientific tribute to Vicent Caselles.
• 1 jun 2012 - 31 jul 2012: Geometric and Analytic techniques in Calculus of Variations and Partial Differential Equations
• 1 mar 2012 - 3 mar 2012: Trends in Mathematical Analysis

Organizer:

• 8 jul 2024 - 12 jul 2024: 20th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2024)
• 3 jul 2023 - 7 jul 2023: 19th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2023)
• 27 jun 2022 - 1 jul 2022: 18th School on Interactions Between Dynamical Systems and Partial Differential Equations (JISD2022)
• 2 jul 2018 - 20 jul 2018: program "Geometric Function Theory in Fluid Mechanics"