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math.AP2025
On a nonlinear Schrödinger-Bopp-Podolsky system in the zero mass case: functional framework and existence
Erasmo Caponio, Pietro d'Avenia, Alessio Pomponio +2
In this paper, we consider in the following zero mass Schrödinger-Bopp-Podolsky system \[ \begin{cases} -Δu +q^2ϕu=|u|^{p-2}u\\ -Δϕ+a^2Δ^2ϕ=4πu^2 \end{cases} \] wher…
math.AP2020★ 4 cited
Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
Rossella Bartolo, Erasmo Caponio, Alessio Pomponio
We consider a Dirichlet problem for the mean curvature operator in the Minkowski spacetime, obtaining a necessary and sufficient condition for the existence of a spacelike solution…