User:Camillo.delellis

My homepage at the University of Zuerich.

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

This is the list of pages that I have contributed to and I am "watching":

Absolute continuity | Absolutely continuous measures | Absolutely convergent series | Algebra of sets | Baire space | Baire theorem | Borel function | Borel set | Category of a set | Convergence of measures | Hahn decomposition | Jacobian | Radon measure | Radon-Nikodým theorem | Signed measure

This is the list of pages that I have started ex novo:

Density of a set | Rectifiable set | Riesz representation theorem

This is a list of pages which in my opinion need to be created/added to the Encyclopedia:

Area formula | Cauchy product | Change of variables formula | Coarea formula | Differentiation of measures | Weak$^\star$ topology

This is a list of pages related to my mathematical interests, which I will take a look at and most likely modify:

Absolute summability | Absolutely integrable function | Aerodynamics, mathematical problems of | Affine minimal surface | Approximate continuity | Approximate differentiability | Approximate limit | Arzelà-Ascoli theorem | Baire property | Banach-Mazur game | Banach-Steinhaus theorem | Barrier | Bernstein theorem | Birkhoff-Rott equation | Borel measure | Boundary layer | Boundary value problem, elliptic equations | Boundary value problem, partial differential equations | Cantor set | Catenoid | Cauchy problem | Class of differentiability | Convergence, types of | Convergence of distributions | Convex functional | Convex integration | Curl | Darboux-Baire-1-function | Deformation, isometric | Density point | 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 | 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 | Jacobi matrix | John-Nirenberg inequalities | Jordan decomposition | Kernel of an integral operator | Kinetic equation | Korn inequality | Laplace equation | Lebesgue decomposition | Lebesgue integral | Lebesgue measure | Lebesgue point | Lebesgue theorem | 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 | Rectifiable curve | Riemannian curvature | Saddle point | Schauder theorem | Scherk surface | Second fundamental form | Semi-continuous function | Series | 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 | Vector measure | Viscosity | Viscosity solutions | Vitali theorem | Weak derivative | Weak topology | Young measure |