3 citations · 4 across the 4 of their papers we have counts for
5 papers
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
In this article we present various uniqueness and existence results for Q-curvature type equations with a Paneitz operator on $\s^n$ in axially symmetric function spaces. In partic…
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
We show that axially symmetric solutions on to a constant -curvature type equation (it may also be called fourth order mean field equation) must be constant, prov…
On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation
Mostafa Fazly, Yeyao Hu, Wen Yang
We consider the nonlocal Hénon-Gelfand-Liouville problem for every , and . We prove a monotonici…
Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions
Daniele Bartolucci, Changfeng Gui, Yeyao Hu +2
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique. On the ot…
Non-axially symmetric solutions of a mean field equation on
Changfeng Gui, Yeyao Hu
We prove the existence of a family of blow-up solutions of a mean field equation on sphere. The solutions blow up at four points where the minimum value of a potential energy funct…