7 citations · 9 across the 5 of their papers we have counts for
10 papers
Coron's problem for the critical Lane-Emden system
Sangdon Jin, Seunghyeok Kim
In this paper, we address the solvability of the critical Lane-Emden system \[\begin{cases} -Δu=|v|^{p-1}v &\mbox{in } Ω_ε,\\ -Δv=|u|^{q-1}u &\mbox{in } Ω_ε,\\ u=v=0 &\mbox{on } \p…
Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents
Seunghyeok Kim, Sang-Hyuck Moon
We concern a family of solutions of the Lane-Emden system on a smooth bounded convex domain in \[\begin…
Infinite-time blowing-up solutions to small perturbations of the Yamabe flow
Seunghyeok Kim, Monica Musso
Under the validity of the positive mass theorem, the Yamabe flow on a smooth compact Riemannian manifold of dimension is known to exist for all time and converges to…
Multiple blowing-up solutions to critical elliptic systems in bounded domains
Seunghyeok Kim, Angela Pistoia
We construct families of blowing-up solutions to elliptic systems on smooth bounded domains in the Euclidean space, which are variants of the critical Lane-Emden system and analogo…
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…
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 }…