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math.AP2014
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
Denis Bonheure, Ederson Moreira dos Santos, Miguel Ramos +1
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights \[ -Δu = |x|^β |v|^{q-1}v, \quad -Δv =|x|^α|u|^{p-1}u\q…
math.AP2014★ 74 cited
Hamiltonian elliptic systems: a guide to variational frameworks
Denis Bonheure, Ederson Moreira dos Santos, Hugo Tavares
Consider a Hamiltonian system of type \[ -Δu=H_{v}(u,v),\ -Δv=H_{u}(u,v) \ \ \text{ in } Ω, \qquad u,v=0 \text{ on } \partial Ω\] where is a power-type nonlinearity, for instan…