14 citations · 16 across the 5 of their papers we have counts for
6 papers
Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods
Xavier Cabre, Gyula Csató, Albert Mas
This paper provides the first variational proof of the existence of periodic nonlocal-CMC surfaces. These are nonlocal analogues of the classical Delaunay cylinders. More precisely…
A fractional Michael-Simon Sobolev inequality on convex hypersurfaces
Xavier Cabre, Matteo Cozzi, Gyula Csató
The classical Michael-Simon and Allard inequality is a Sobolev inequality for functions defined on a submanifold of Euclidean space. It is governed by a universal constant independ…
Study of fractional Poincaré inequalities on unbounded domains
Indranil Chowdhury, Gyula Csató, Prosenjit Roy +1
The central aim of this paper is to study (regional) fractional Poincaré type inequalities on unbounded domains satisfying the finite ball condition. Both existence and non existen…
The equation div+
Pierre Bousquet, Gyula Csató
We study the solutions to the equation whe…
On the boundary conditions in estimating by div and curl
Gyula Csató, Olivier Kneuss, Dhanya Rajendran
In this paper we study under what boundary conditions the inequality $$\|\nablaω\|_{L^2(Ω)}^2\leq C\left(\|{\rm curl}ω\|_{L^2(Ω)}^2+ \|{\rm div}ω\|_{L^2(Ω)}^2+\|ω\|_{L^2(Ω)}^2\righ…
An Isoperimetric Problem With Density and the Hardy Sobolev Inequality in
Gyula Csató
We prove, using elementary methods of complex analysis, the following generalization of the isoperimetric inequality: if $p\in\re$, $Ω\subset\re^2$ then the inequality $$ \left(\fr…