2 citations · 3 across the 3 of their papers we have counts for
4 papers
The equilibrium measure for an anisotropic nonlocal energy
J. A. Carrillo, J. Mateu, M. G. Mora +3
In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies defined on probability measures in , with . The ene…
The ellipse law: Kirchhoff meets dislocations
J. A. Carrillo, J. Mateu, M. G. Mora +3
In this paper we consider a nonlocal energy whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter . The case …
The maximal singular integral : estimates in terms of the singular integral
Joan Verdera
This is an expository paper on the characterization of the even (or odd) smooth homogeneous convolution Calderón-Zygmund operators in R^n such that the maximal singular integral ca…
A new characterization of Sobolev spaces on
Roc Alabern, Joan Mateu, Joan Verdera
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces (). Our characterizing condition is obtained via a quadratic multiscale expressi…