4 papers · 1 filter
A fractional Hardy-Sobolev inequality of Michael-Simon type on convex hypersurfaces
Gyula Csató, Prosenjit Roy
In this paper we prove a fractional version of a Caffarelli-Kohn-Nirenberg type interpolation inequality on hypersurfaces which are boundaries of convex sets. Th…
Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian
Gyula Csató, Albert Mas
We discuss the Hölder regularity of solutions to the semilinear equation involving the fractional Laplacian in one dimension. We put in evidence a new regularity…
Strict rearrangement inequalities: nonexpansivity and periodic Gagliardo seminorms
Gyula Csató, Albert Mas
This paper deals with the behavior of the periodic Gagliardo seminorm under two types of rearrangements, namely under a periodic, and respectively a cylindrical, symmetric decreasi…
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity
Xavier Cabre, Gyula Csató, Albert Mas
We consider nonconstant periodic constrained minimizers of semilinear elliptic equations for integro-differential operators in . We prove that, after an appropriate tra…