activity
20222026
most citedMultiplicity results for generalized quasilinear critical Schrödinger equations in R^N

12 citations · 18 across the 12 of their papers we have counts for

collaborators

12 papers

math.AP2026

Optimal data-driven solutions for a stationary diffusive model of population growth

Laura Baldelli, Paolo Malanchini, Wolfgang Reichel

We study optimal data-driven solutions for the stationary diffusive population growth model in a bounded domain with Neumann boundary conditions.…

math.AP2026

On a class of critical Schrödinger-Poisson systems involving the (p,q)-Laplacian

Laura Baldelli, Roberta Filippucci

This paper investigates a class of Schrödinger-Poisson systems in featuring the (p,q)-Laplacian operator and a combination of critical and subcritical nonlinearities…

math.AP2026

A blow-up approach for a priori bounds in semilinear planar elliptic systems: the Brezis-Merle critical case

Laura Baldelli, Gabriele Mancini, Giulio Romani

We establish uniform a priori estimates for solutions of semilinear planar Hamiltonian elliptic systems in a ball with Dirichlet boundary conditions. We consider a broad class of c…

math.AP2025

Normalized Solutions for the -Laplacian Operator Between Mass-Critical Exponents

Laura Baldelli, Norihisa Ikoma

This paper concerns the existence of normalized solutions to a class of -Laplacian equations with a power type nonlinearity in the intermediate regime between the two mass c…

math.AP2025

Existence and decay for a Grushin problem in with singular, convective, critical reaction

Laura Baldelli, Paolo Malanchini, Simone Secchi

We establish an existence result for a problem set in the whole Euclidean space involving the Grushin operator and featuring a critical term perturbed by a singular, convective rea…

math.AP2025

Decay estimates for solutions to non-autonomous critical p-Laplace problems

Laura Baldelli, Umberto Guarnotta

We prove optimal decay estimates for positive solutions to elliptic p-Laplacian problems in the entire Euclidean space, when a critical nonlinearity with a decaying source term is…

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…

math.AP2023★ 12 cited

Multiplicity results for generalized quasilinear critical Schrödinger equations in R^N

Laura Baldelli, Roberta Filippucci

Multiplicity results are proved for solutions both with positive and negative energy, as well as nonexistence results, of a generalized quasilinear Schrödinger potential free equat…

math.AP2022

Normalized solutions to a class of -Laplacian equations

Laura Baldelli, Tao Yang

This paper concerns the existence of normalized solutions to a class of -Laplacian equations in all the possible cases according to the value of with respect to the crit…

math.AP2022★ 6 cited

Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion

Laura Baldelli, Valentina Brizi, Roberta Filippucci

In this paper existence and nonexistence results of positive radial solutions of a Dirichlet -Laplacian problem with different weights and a diffusion term inside the divergence…