Miguel Ramos

collaborators

2 papers

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

Sign changing solutions for elliptic equations with critical growth in cylinder type domains

Pedro M. Girão, Miguel Ramos

We prove the existence of positive and of nodal solutions for $- Δ u = ∣ u ∣^{p - 2} u + μ ∣ u ∣^{q - 2} u$ , $u \in H_{0}^{1} (Ω)$ , where $μ > 0$ and $2 < q < p = 2 N (N - 2)$ , for a class of open subsets $Ω…