Camillo De Lellis

1. The min--max construction of minimal surfaces
   2003/03/31 by Tobias H. Colding, Camillo De Lellis · 4 citations
   Mathematics · #math.AP #math.DG #math.GT #msc:49Q05 #msc:53A10 #msc:49Q15
2. Genus bounds for minimal surfaces arising from min-max constructions
   2009/05/25 by Camillo De Lellis, De Lellis, Camillo, Filippo Pellandini +1 · 4 citations
   Mathematics · #Advanced Topology and Set Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Point processes and geometric inequalities
3. Regularity of area minimizing currents III: blow-up
   2013/06/05 by Camillo De Lellis, De Lellis, Camillo, Emanuele Spadaro +1 · 3 citations
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
4. Almost-Schur lemma
   2010/03/18 by Camillo De Lellis, De Lellis, Camillo, Peter M. Topping +1 · 2 citations
   Mathematics · Physics and Astronomy · #53C24 #58J99 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
5. Dissipative Euler flows with Onsager-critical spatial regularity
   2014/04/28 by Tristan Buckmaster, Camillo De Lellis, Buckmaster, Tristan +3 · 2 citations
   Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
6. Weak-strong uniqueness for measure-valued solutions
   2009/12/05 by Yann Brenier, Camillo De Lellis, Brenier, Yann +3 · 2 citations
   Engineering · Mathematics · #35D99 #76B03 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
7. Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik
   2021/12/09 by Dallas Albritton, Elia Brué, Albritton, Dallas +11 · 1 citation
   Earth and Planetary Sciences · Engineering · Mathematics · #35Q31 #35Q35 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
8. The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and H^m-2-a.e. Uniqueness of Tangent Cones
   2023/04/23 by Camillo De Lellis, De Lellis, Camillo, Paul Minter +3 · 1 citation
   Mathematics · #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Geometry and complex manifolds
9. The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points
   2023/04/23 by Camillo De Lellis, De Lellis, Camillo, Anna Skorobogatova +1 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
10. A remark on the uniqueness of solutions to hyperbolic conservation laws
    2023/05/26 by Alberto Bressan, Bressan, Alberto, Camillo De Lellis +1 · 1 citation
    Mathematics · #35L65 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
11. Nonclassical minimizing surfaces with smooth boundary
    2019/06/22 by Camillo De Lellis, De Lellis, Camillo, Guido De Philippis +3 · 1 citation
    Mathematics · #53A10(49Q05) #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations