5 papers · 1 filter
Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere
Haixia Chen, Seunghyeok Kim, Monica Musso
For every , we construct uncountably many families of type II ancient solutions to the Yamabe flow on the unit round -sphere $\Ss^n$. These families are pairwise distin…
Sharp quantitative stability estimates for the Brezis-Nirenberg problem
Haixia Chen, Seunghyeok Kim, Juncheng Wei
We study the quantitative stability for the classical Brezis-Nirenberg problem associated with the critical Sobolev embedding in a…
Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
Haixia Chen, Seunghyeok Kim, Juncheng Wei
By developing a unified approach based on integral representations, we establish sharp quantitative stability estimates for critical points of the fractional Sobolev inequalities i…
Sharp quantitative stability of the Yamabe problem
Haixia Chen, Seunghyeok Kim
Given a smooth closed Riemannian manifold of dimension , we derive sharp quantitative stability estimates for nonnegative functions near the solution set of the Ya…
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs
Haixia Chen, Simone Dovetta, Angela Pistoia +1
We establish existence and multiplicity of one-peaked and multi-peaked positive bound states for nonlinear Schrödinger equations on general compact and noncompact metric graphs. Pr…