107 citations · 382 across the 27 of their papers we have counts for
4 papers · 1 filter
Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case
Hugo Tavares, Song You, Wenming Zou
Let be a smooth bounded domain. In this paper we investigate the existence of least energy positive solutions to the following Schrödinger system with $d\…
Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius
Nicola Soave, Hugo Tavares, Alessandro Zilio
Consider the class of optimal partition problems with long range interactions \[ \inf \left\{ \sum_{i=1}^k λ_1(ω_i):\ (ω_1,\ldots, ω_k) \in \mathcal{P}_r(Ω) \right\}, \] where $λ_1…
Yamabe systems, optimal partitions, and nodal solutions to the Yamabe equation
Mónica Clapp, Angela Pistoia, Hugo Tavares
We give conditions for the existence of regular optimal partitions, with an arbitrary number of components, for the Yamabe equation on a closed Riemannian manifold $(M…
On the least-energy solutions of the pure Neumann Lane-Emden equation
Alberto Saldaña, Hugo Tavares
We study the pure Neumann Lane-Emden problem in a bounded domain \[ -Δu = |u|^{p-1} u \text{ in }Ω, \qquad \partial_νu=0 \text{ on }\partial Ω, \] in the subcritical, critical, and…