H. Tavares

activity

20102023

most citedExistence and orbital stability of the ground states with prescribed mass for the L^2-critical and supercritical NLS on bounded domains

107 citations · 382 across the 27 of their papers we have counts for

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3 papers · 1 filter

math.AP2023★ 2 cited

Spectral partition problems with volume and inclusion constraints

Pêdra D. S. Andrade, Ederson Moreira dos Santos, Makson S. Santos +1

In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an o…

math.AP2023

Classification and stability of positive solutions to the NLS equation on the $T$ -metric graph

Francisco Agostinho, Simão Correia, Hugo Tavares

Given $λ > 0$ and $p > 2$ , we present a complete classification of the positive $H^{1}$ -solutions of the equation $- u^{''} + λ u = ∣ u ∣^{p - 2} u$ on the $T$ -metric graph (consisting of tw…

math.AP2023★ 1 cited

Optimal uniform bounds for competing variational elliptic systems with variable coefficients

Manuel Dias, Hugo Tavares

Let $Ω \subset R^{N}$ be an open set. In this work we consider solutions of the following gradient elliptic system \[ -\text{div}(A(x)\nabla u_{i,β}) = f_i(x,u_{i,β}) + a(x)β…

Spectral partition problems with volume and inclusion constraints

Classification and stability of positive solutions to the NLS equation on the T-metric graph

Optimal uniform bounds for competing variational elliptic systems with variable coefficients

Classification and stability of positive solutions to the NLS equation on the $T$ -metric graph