An asymptotic relationship between Lane-Emden systems and the 1-bilaplacian equation

Nicola Abatangelo, Alberto Saldaña, Hugo Tavares

Consider the following Lane-Emden system with Dirichlet boundary conditions: \[ -ΔU = |V|^{β-1}V,\ -ΔV = |U|^{α-1}U \text{ in }Ω,\qquad U=V= 0 \text{ on }\partial Ω, \] in a bounde…