146 citations · 379 across the 38 of their papers we have counts for
41 papers
On a zero-mass -Laplacian equation involving subcritical and supercritical growth in
Everaldo Souto De Medeiros, Antonio Araújo Do Nascimento, Gaetano Siciliano
This paper is concerned with the zero-mass -Laplacian equation where . The exponents …
Boosted Ground States for a Pseudo-Relativistic Schrödinger Equation with a double power nonlinearity
Pietro d'Avenia, Alessio Pomponio, Gaetano Siciliano +1
In this paper, we investigate the existence and limit behaviours of travelling solitary waves of the form to the nonlinear pseudo-relativistic Sc…
Schrödinger-Bopp-Podolsky system with sublinear and critical nonlinearities: solutions at negative energy levels and asymptotic behaviour
Heydy M. Santos Damian, Gaetano Siciliano
We consider the following Schrödinger-Bopp-Podolsky system with critical and sublinear terms \begin{equation*} \begin{cases} - Δu+ u+Q(x)ϕu= \vert u\vert^4 u+ λK(x)\vert u \vert^{p…
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…
Small normalised solutions for a Schrödinger-Poisson system in expanding domains: multiplicity and asymptotic behaviour
Edwin G. Murcia, Gaetano Siciliano
Given a smooth bounded domain , we consider the following nonlinear Schrödinger-Poisson type system \begin{equation*} \left\{ \begin{array}{ll} -Δu+ ϕu -\abs{…
Existence and limit behavior of least energy solutions to constrained Schrödinger-Bopp-Podolsky systems in
Gustavo de Paula Ramos, Gaetano Siciliano
Consider the following Schrödinger-Bopp-Podolsky system in under an -norm constraint, \[ \begin{cases} -Δu + ωu + ϕu = u|u|^{p-2},\newline -Δϕ+ a^2Δ^2ϕ=4πu^2,\n…