175 citations · 729 across the 112 of their papers we have counts for
7 papers · 2 filters
Weak solutions of geometric flows associated to integro-differential harmonic maps
Armin Schikorra, Yannick Sire, Changyou Wang
The purpose of this note is to prove the existence of global weak solutions to the flow associated to integro-differential harmonic maps into spheres and Riemannian homogeneous man…
Singular Perturbation Problem in Boundary/Fractional Combustion
Arshak Petrosyan, Wenhui Shi, Yannick Sire
Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction-diffusion equation, where the rea…
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane
Francois Hamel, Xavier Ros-Oton, Yannick Sire +1
We consider entire solutions to in , where is a nonlocal operator with translation invariant, even and compactly supported kernel .…
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
Yannick Sire, Juan Luis Vazquez, Bruno Volzone
We develop further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. The theory leads to optimal estimates in the form…
Entire solutions to semilinear nonlocal equations in $\RR^2$
Xavier Ros-Oton, Yannick Sire
We consider entire solutions to in $\RR^2$, where is a general nonlocal operator with kernel . Under certain natural assumtions on the operator , we show t…
On Fractional Schrodinger Equations in sobolev spaces
Younghun Hong, Yannick Sire
Let with . We investigate the fractional nonlinear Schrödinger equation in : w…