2 citations · 3 across the 4 of their papers we have counts for
4 papers
Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
Simone Mauro, Delia Schiera, Hugo Tavares
We study the following gradient elliptic system with Neumann boundary conditions \begin{equation*} -Δu + λ_1 u = u^3 + βuv^2, \ -Δv + λ_2 v = v^3 + βu^2 v \ \text{in } Ω,\qquad \fr…
On least energy solutions to a pure Neumann Lane-Emden system: convergence, symmetry breaking, and multiplicity
Alberto Saldaña, Delia Schiera, Hugo Tavares
We consider the following Lane-Emden system with Neumann boundary conditions \[ -Δu= |v|^{q-1}v \text{ in } Ω,\qquad -Δv= |u|^{p-1}u \text{ in } Ω,\qquad \partial_νu=\partial_νv=0…
Free boundary regularity for a spectral optimal partition problem with volume and inclusion constraints
Dario Mazzoleni, Makson S. Santos, Hugo Tavares
This paper is devoted to a complete characterization of the free boundary of all solutions to the following spectral -partition problem with measure and inclusion constraints: \…
An asymptotic relationship between Lane-Emden systems and the 1-bilaplacian equation
Nicola Abatangelo, Alberto Saldaña, Hugo Tavares
Consider the following Lane-Emden system with Dirichlet boundary conditions: \[ -ΔU = |V|^{β-1}V,\ -ΔV = |U|^{α-1}U \text{ in }Ω,\qquad U=V= 0 \text{ on }\partial Ω, \] in a bounde…