66 citations · 691 across the 59 of their papers we have counts for
4 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…
Nonlinear commutators for the fractional p-Laplacian and applications
Armin Schikorra
We prove a nonlocal, nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions. For the fractional -Laplace operator it implies that solutions to c…
Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension
Ali Maalaoui, Luca Martinazzi, Armin Schikorra
Given a smoothly bounded domain with odd, we study the blow-up of bounded sequences of solutions to the non-loc…
-theory for fractional gradient PDE with VMO coefficients
Armin Schikorra, Tien-Tsan Shieh, Daniel Spector
In this paper, we prove estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are . In particula…