User:Camillo.delellis

My homepage at the University of Zuerich.

My research interests are in analysis and differential geometry, especially in partial differential equations, geometric measure theory and fluid dynamics (2010 MSC [35xx], [49Jxx], [49Qxx], [76xx]).

This is a list of pages related to my mathematical interests:

Absolute continuity | Absolutely convergent series | Aerodynamics, mathematical problems of | Affine minimal surface | Absolute summability | Absolutely continuous measures | Absolutely integrable function | Approximate continuity | Approximate differentiability | Approximate limit | Arzelà-Ascoli theorem | Baire property | Baire theorem | Banach-Mazur game | Banach-Steinhaus theorem | Barrier | Bernstein theorem | Birkhoff-Rott equation | Borel function | Borel measure | Borel set | Boundary layer | Boundary value problem, elliptic equations | Boundary value problem, partial differential equations | Catenoid | Cauchy problem | Class of differentiability | Convergence, almost-everywhere | Convergence in measure | Convergence of measures | Convergence of distributions | Convex functional | Convex integration | Curl | Darboux-Baire-1-function | Deformation, isometric | Derivative | Differential | Differential calculus | Differential equation, partial | Differential equation, partial, of the first order | Differential equation, partial, of the second order | Differential equation, partial, variational methods | Differential form | Differential geometry | Differentiation | Diffusion equation | Dirac delta-function | Dirichlet Laplacian | Dirichlet principle | Dirichlet problem | Distribution | Egorov theorem | Eikonal equation | Elliptic partial differential equation | Energy inequality | Energy integral | Euler equation | Fatou theorem (on Lebesgue integrals) | Federer-Fleming deformation theorem | First variation | Fixed point | Flat norm | Fractals | Fubini theorem | Function of bounded variation | Functional analysis | Galilean transformation | Gas dynamics, equations of | Gaussian curvature | Generalized derivative | Generalized function | Generalized function, derivative of a | Generalized functions, product of | Generalized functions, space of | Geometric measure theory | Gradient | Gradient method | Green formulas | Green function | H-principle | Hahn decomposition | Hardy spaces | Harmonic analysis | Harmonic function | Harmonic polynomial | Harnack inequality | Hausdorff dimension | Hausdorff measure | Heat equation | Helicoid | Helmholtz equation | Hyperbolic partial differential equation | Hölder condition | Hölder inequality | Hölder space | Integrability | Integral | Isometric immersion | Isoperimetric inequality | Isoperimetric inequality, classical | Isoperimetric problem | Isothermal coordinates | Jacobian | John-Nirenberg inequalities | Kernel of an integral operator | Kinetic equation | Korn inequality | Laplace equation | Lebesgue decomposition | Lebesgue integral | Lebesgue measure | Lebesgue point | Linear differential operator | Linear elliptic partial differential equation and system | Linear partial differential equation | Liouville theorems | Mass and co-mass | Maximum principle | Measurable function | Measurable set | Measure | Minimal surface | Minimax principle | Monge-Ampère equation | Moser-Trudinger inequality | Nash theorems (in differential geometry) | Navier-Stokes equations | Newton method | Non-atomic measure | Non-linear differential equation | Non-linear partial differential equation | One-parameter semi-group | Parabolic partial differential equation | Partial differential equations on a manifold | Perron method | Plateau problem | Plateau problem, multi-dimensional | Poisson equation | Radon measure | Radon-Nikodým theorem | Rectifiable curve | Riemannian curvature | Saddle point | Schauder theorem | Scherk surface | Second fundamental form | Semi-continuous function | Shock waves, mathematical theory of | Sobolev classes (of functions) | Sobolev generalized derivative Sobolev space | Stokes formula | Stokes theorem | Strong solution | Subdifferential | Support of a measure | Superharmonic function | Turbulence, mathematical problems in | Variational calculus | Variational calculus in the large | Variational problem | Viscosity | Viscosity solutions | Vitali theorem | Weak derivative | Weak topology | Young measure |