24 citations · 56 across the 19 of their papers we have counts for
Showing 2019 · math.APShow all
3 papers · 2 filters
math.AP2019
Non-degeneracy for the critical Lane-Emden system
Rupert L. Frank, Seunghyeok Kim, Angela Pistoia
We prove the non-degeneracy for the critical Lane--Emden system for all and such th…
math.AP2019★ 1 cited
A perturbative approach to non-degeneracy of the Lane-Emden system
Seunghyeok Kim, Angela Pistoia
We consider ground state solutions of the critical Lane-Emden system \[\begin{cases} -Δu = v^p &\text{in } \mathbb{R}^n,\\ -Δv = u^q &\text{in } \mathbb{R}^n,\\ u,v >0\ &\text{in }…
math.AP2019★ 3 cited
Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary
Seunghyeok Kim, Monica Musso, Juncheng Wei
We concern -compactness of the solution set of the boundary Yamabe problem on smooth compact Riemannian manifolds with boundary provided that their dimensions are , or…