Showing 2021Show all
2 papers · 1 filter
math.AP2021
Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem
Xusheng Du, Tianling Jin, Jingang Xiong +1
We show a convergence result of the fractional Laplacian for sequences of nonnegative functions without uniform boundedness near infinity. As an application, we construct a sequenc…
math.AP2021
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent
Xusheng Du, Hui Yang
We study positive solutions to the fractional semi-linear elliptic equation with an isolated singu…