2 citations · 4 across the 8 of their papers we have counts for
8 papers · 1 filter
Optimal uniform bounds for competing variational elliptic systems with variable coefficients
Manuel Dias, Hugo Tavares
Let 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…
Paths to uniqueness of critical points and applications to partial differential equations
Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos +2
We prove a unified and general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our me…
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…
Stable solitary waves with prescribed -mass for the cubic Schrödinger system with trapping potentials
Benedetta Noris, Hugo Tavares, Gianmaria Verzini
For the cubic Schrödinger system with trapping potentials in , , or in bounded domains, we investigate the existence and the orbital stability of standing wav…
Increasing powers in a degenerate parabolic logistic equation
José Francisco Rodrigues, Hugo Tavares
The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem $$ \partial_t u-Δu=a u-b(x) u^p \text{in} Ω\times \R^+, u(0)=u_0, u(t)|_{\par…
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 , in , where is a s…