Joaquim Serra

1. The Pohozaev Identity for the Fractional Laplacian
   2014/04/11 by Xavier Ros‐Oton, Xavier Ros-Oton, Joaquim Serra · 31 citations
   Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis
2. The Dirichlet problem for the fractional Laplacian: regularity up to the\n boundary
   2012/07/25 by Xavier Ros‐Oton, Ros-Oton, Xavier, Joaquim Serra +1 · 21 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
3. The Pohozaev identity for the fractional Laplacian
   2012/07/25 by Xavier Ros‐Oton, Ros-Oton, Xavier, Joaquim Serra +1 · 5 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
4. The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
   2014/03/01 by Xavier Ros-Oton, Joaquim Serra · 4 citations
5. On the fine structure of the free boundary for the classical obstacle\n problem
   2017/09/12 by Alessio Figalli, Joaquim Serra, Figalli, Alessio +1 · 4 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
6. Quantitative flatness results and BV-estimates for stable nonlocal\n minimal surfaces
   2016/02/01 by Eleonora Cinti, Joaquim Serra, Cinti, Eleonora +3 · 4 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
7. The extremal solution for the fractional Laplacian
   2013/05/11 by Xavier Ros‐Oton, Ros-Oton, Xavier, Joaquim Serra +1 · 2 citations
   Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
8. Non-symmetric stable operators: regularity theory and integration by parts
   2020/12/09 by Serena Dipierro, Xavier Ros‐Oton, Dipierro, Serena +5 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
9. Stable solutions to semilinear elliptic equations are smooth up to\n dimension 9
   2019/07/22 by Xavier Cabré, Alessio Figalli, Cabre, Xavier +5 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
10. Local integration by parts and Pohozaev identities for higher order\n fractional Laplacians
    2014/06/04 by Xavier Ros‐Oton, Joaquim Serra, Ros-Oton, Xavier +1 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations