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math.AP2022★ 1 cited
Existence of solutions on the critical hyperbola for a pure Lane-Emden system with Neumann boundary conditions
Angela Pistoia, Delia Schiera, Hugo Tavares
We study the following Lane-Emden system \[ -Δu=|v|^{q-1}v \quad \text{ in } Ω, \qquad -Δv=|u|^{p-1}u \quad \text{ in } Ω, \qquad u_ν=v_ν=0 \quad \text{ on } \partial Ω, \] with $Ω…
math.AP2022★ 1 cited
Existence of solutions to a slightly supercritical pure Neumann problem
Angela Pistoia, Alberto Saldaña, Hugo Tavares
We show the existence and multiplicity of concentrating solutions to a pure Neumann slightly supercritical problem in a ball. This is the first existence result for this kind of pr…