Cabre, Xavier

1. Nonlinear equations for fractional Laplacians I: Regularity, maximum\n principles, and Hamiltonian estimates
   2010/12/03 by Xavier Cabré, Cabre, Xavier, Yannick Sire +1 · 21 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
2. Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions
   2011/11/03 by Cabre, Xavier, Sire, Yannick · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Sharp energy estimates for nonlinear fractional diffusion equations
   2012/07/26 by Cabre, Xavier, Cinti, Eleonora · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Sobolev and isoperimetric inequalities with monomial weights
   2012/10/16 by Cabre, Xavier, Ros-Oton, Xavier · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Sharp isoperimetric inequalities via the ABP method
   2013/04/05 by Cabre, Xavier, Ros-Oton, Xavier, Serra, Joaquim · 2 citations
   #49Q20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 28A75 #Secondary 35A23
6. The Bernstein technique for integro-differential equations
   2020/10/01 by Cabre, Xavier, Dipierro, Serena, Valdinoci, Enrico · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
7. 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
8. Positive solutions of nonlinear problems involving the square root of the Laplacian
   2009/05/08 by Cabre, Xavier, Tan, Jinggang · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
9. A fractional Michael-Simon Sobolev inequality on convex hypersurfaces
   2020/04/27 by Cabre, Xavier, Cozzi, Matteo, Csató, Gyula · 1 citation
   #26D10 #46E35 #52A20 #53A07 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime
    2021/11/11 by Cabre, Xavier, Cinti, Eleonora, Serra, Joaquim · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Estimates controlling a function by only its radial derivative and applications to stable solutions of elliptic equations
    2022/11/23 by Xavier Cabré, Cabre, Xavier · 1 citation
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems