Hugo Tavares

most citedConvergence of minimax and continuation of critical points for singularly perturbed systems

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

collaborators

3 papers

math.AP2010

Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems

Hugo Tavares, Susanna Terracini, Gianmaria Verzini +1

In this paper we deal with the cubic Schrödinger system $- Δ u_{i} = \sum_{j = 1}^{n} β_{ij} u_{j}^{2} u_{i}$ , $u_{1}, \dots, u_{n} \geq 0$ in $R^{N} (N \leq 3)$ , where $β = (β_{i, j})_{ij}$ is a s…

math.AP2010★ 1 cited

Regularity of the nodal set of segregated critical configurations under a weak reflection law

Hugo Tavares, Susanna Terracini

We deal with a class of Lipschitz vector functions $U = (u_{1}, ..., u_{h})$ whose components are non negative, disjointly supported and verify an elliptic equation on each support. Under…

math.AP2009★ 2 cited

Convergence of minimax and continuation of critical points for singularly perturbed systems

Benedetta Noris, Hugo Tavares, Susanna Terracini +1

We consider a competitive system of two stationary Gross-Pitaevskii equations arising in the theory of Bose-Einstein condensation, and the corresponding scalar equation. We address…