3 papers
math.AP2025
On the cubic-quintic Schrödinger equation
Laura Baldelli
This paper explores the cubic-quintic Schrödinger equation in the entire Euclidean space. Our objectives are twofold: first, to advance the understanding of unresolved issues relat…
math.AP2025
Critical quasilinear Schroedinger equations with electromagnetic fields
Laura Baldelli, Roberta Filippucci, David Krejcirik
The p-Laplace operator in the entire N-dimensional Euclidean space, subject to external electromagnetic potentials, is investigated. In the general case 1<p<N, the existence of at…
math.AP2024
Existence and regularity for a -Laplacian problem in with singular, convective, critical reaction
Laura Baldelli, Umberto Guarnotta
We prove an existence result for a -Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction. The approach…