From the 1 of 4 linked papers with an AI index.
4 papers
Existence and Limiting Profiles of Normalized Travelling Wave Solutions for the Pseudo-Relativistic Schrödinger Equation with Logarithmic Nonlinearity
Pietro d'Avenia, Qihan He, Alessio Pomponio +1
The paper investigates normalized travelling wave solutions of a pseudo‑relativistic Schrödinger equation with a logarithmic nonlinearity, establishing existence thresholds under a…
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…
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} -Îu +q^2Ïu=|u|^{p-2}u\\ -ÎÏ+a^2Î^2Ï=4Ïu^2 \end{cases}…
On a zero mass Schrödinger-Bopp-Podolsky system: ground states, nonexistence results and asymptotic behaviour
Alessio Pomponio, Lianfeng Yang
In this paper, we consider the following zero mass Schrödinger-Bopp-Podolsky system \[ \begin{cases} -Îu +q^2Ïu=|u|^{p-2}u, -ÎÏ+a^2Î^2Ï=4Ïu^2, \end{cases} \text{ in } \math…