2 citations · 2 across the 5 of their papers we have counts for
5 papers
On Neumann -Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems
Sean McCurdy, Alberto Saldaña, Delia Schiera
We consider a family of pure Neumann -Laplacian problems, including eigenvalue problems, Lane-Emden type equations, and extremal cases such as sign nonlinearities and the -La…
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…
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…
Differentiability of the nonlocal-to-local transition in fractional Poisson problems
Alberto Saldaña, Sven Jarohs, Tobias Weth
Let denote a solution of the fractional Poisson problem where and $Ω\sub…
FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
Víctor Hernández-Santamaría, Sven Jarohs, Alberto Saldaña +1
We present the numerical analysis of a finite element method (FEM) for one-dimensional Dirichlet problems involving the logarithmic Laplacian (the pseudo-differential operator that…