M. Ramos

most citedExtremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues

23 citations · 23 across the 3 of their papers we have counts for

collaborators

4 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…

math.AP2014★ 23 cited

Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues

Miguel Ramos, Hugo Tavares, Susanna Terracini

Let $Ω \subset R^{N}$ be an open bounded domain and $m \in N$ . Given $k_{1}, \dots, k_{m} \in N$ , we consider a wide class of optimal partition problems involving…

math.AP2009

Existence and bounds of positive solutions for a nonlinear Schroedinger system

Benedetta Noris, Miguel Ramos

We prove that, for any real $λ$ , the system $- Δ u + λ u = u^{3} - β u v^{2}$ , $- Δ v + λ v = v^{3} - β v u^{2}$ , $u, v \in H_{0}^{1} (Ω),$ where $Ω$ is a bounded smooth domain of $R^{3}$ , admits a bounded family…