Bruè, Elia

1. Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces
   2019/09/01 by Bruè, Elia, Pasqualetto, Enrico, Semola, Daniele · 6 citations
   #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
2. Rigidity of the 1-Bakry- 'Emery inequality and sets of finite perimeter\n in RCD spaces
   2018/12/19 by Luigi Ambrosio, Elia Brué, Ambrosio, Luigi +3 · 4 citations
   Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities
3. On the Sobolev space of functions with derivative of logarithmic order
   2018/07/09 by Bruè, Elia, Nguyen, Quoc-Hung · 3 citations
   #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
4. Enhanced dissipation for two-dimensional Hamiltonian flows
   2022/11/25 by Elia Brué, Michele Coti Zelati, Bruè, Elia +3 · 4 citations
   Mathematics · #35Q35 #35Q49 #76F25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics
5. Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
   2018/04/19 by Bruè, Elia, Elia Brué, Semola, Daniele +1 · 2 citations
   Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations
6. Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity
   2024/08/15 by Bruè, Elia, Colombo, Maria, Kumar, Anuj · 5 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Onsager critical solutions of the forced Navier-Stokes equations
   2022/12/16 by Bruè, Elia, Colombo, Maria, Crippa, Gianluca +2 · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts
   2019/05/08 by Bruè, Elia, Nguyen, Quoc-Hung · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Boundary regularity and stability for spaces with Ricci bounded below
   2020/11/17 by Elia Brué, Aaron Naber, Bruè, Elia +3 · 1 citation
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
10. BV Functions and Sets of Finite Perimeter on Configuration Spaces
    2021/09/13 by Elia Brué, Bruè, Elia, Kohei SUZUKI +1 · 1 citation
    Mathematics · #26E15 #28A78 #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG) #Primary 28C20 #Probability (math.PR) #Secondary 28A75
11. Six dimensional counterexample to the Milnor Conjecture
    2023/11/20 by Bruè, Elia, Naber, Aaron, Semola, Daniele · 1 citation
    #Differential Geometry (math.DG) #FOS: Mathematics
12. Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field
    2024/05/02 by Bruè, Elia, Colombo, Maria, Kumar, Anuj · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics