221 citations · 455 across the 37 of their papers we have counts for
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Multi-peak solutions for a magnetic nonlinear Schrödinger equation with exponential critical growth in
Pietro d'Avenia, Chao Ji, Qingyue Li
In this paper, we study the following magnetic nonlinear Schrödinger equation \[ \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(|u|^{2})u\,\ \text{in}\,\ \mathbb{R}^{2}…
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
We study the existence and asymptotic behaviour of normalized solutions to the following pseudo-relativistic Schrödinger equation with logarithmic nonlinearity \[ (\sqrt{-Δ+m^2 }-m…
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…
Finite-energy solutions to Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds
Bartosz Bieganowski, Pietro d'Avenia, Jacopo Schino
We consider the singular elliptic problem of the form \[ -Δu + V(x)u = \mathcal{B}(x)|u|^{2^*-2}u + \frac{\mathcal{A}(x)}{|u|^{2^*}u}, \qquad u\in H^1(M), \] where the coefficients…