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math.AP2022
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…
math.AP2022
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…