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Mathematics

D-Index
44
Citations
6975
World Ranking
1604
National Ranking
42

Overview

Marco Squassina is affiliated with the Catholic University of the Sacred Heart in Italy. Their academic work primarily focuses on the field of mathematics, with a significant concentration in applied mathematics and mathematical physics.

The scientist's research interests encompass various topics within mathematics, including:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Nonlinear Differential Equations Analysis
  • Numerical methods in inverse problems
  • Differential Equations and Boundary Problems

Marco Squassina has contributed to numerous publications in well-regarded academic venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Asymptotic Analysis
  • Calculus of Variations and Partial Differential Equations
  • Discrete and Continuous Dynamical Systems - S
  • Journal of Differential Equations

The research collaborations of Marco Squassina feature repeated partnerships with several co-authors including Jianjun Zhang, Sunra Mosconi, Liejun Shen, and Minbo Yang.

The scientist's recent papers highlight research in nonlinear and fractional equations, existence and uniqueness in solutions, and properties of differential equations. Selected recent publications are:

  • Local uniqueness of blow-up solutions for critical Hartree equations in bounded domain, 2023, Calculus of Variations and Partial Differential Equations
  • Existence and concentration of normalized solutions for p-Laplacian equations with logarithmic nonlinearity, 2024, Journal of Differential Equations
  • Critical gauged Schrödinger equations in ℝ² with vanishing potentials, 2022, Discrete and Continuous Dynamical Systems
  • Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials, 2024, Mathematics
  • Concavity properties for solutions to p-Laplace equations with concave nonlinearities, 2022, Advances in Calculus of Variations

The scientific contributions span theoretical approaches to partial differential equations, spectral theory, and differential equations with nonlinear terms, often focusing on existence and uniqueness results as well as analytical properties of solutions within applied and mathematical physics contexts.

Best Publications

  • Global solutions and finite time blow up for damped semilinear wave equations

    Filippo Gazzola;Marco Squassina

  • Global Hölder regularity for the fractional p-Laplacian

    Antonio Iannizzotto;Sunra J.N. Mosconi;Marco Squassina

  • Existence results for fractional p-Laplacian problems via Morse theory

    Antonio Iannizzotto;Shibo Liu;Kanishka Perera;Marco Squassina

  • On fractional Choquard equations

    Pietro d'Avenia;Gaetano Siciliano;Marco Squassina

  • Eigenvalues for double phase variational integrals

    Francesca Colasuonno;Marco Squassina

  • On the strongly damped wave equation

    Vittorino Pata;Marco Squassina

  • Multiple solutions to logarithmic Schrodinger equations with periodic potential

    Marco Squassina;Andrzej Szulkin

  • Singularly perturbed critical Choquard equations

    Claudianor O. Alves;Fashun Gao;Marco Squassina;Minbo Yang

  • Existence and nonexistence results for critical growth biharmonic elliptic equations

    Filippo Gazzola;Hans-Christoph Grunau;Marco Squassina

  • Stability of variational eigenvalues for the fractional p−Laplacian

    Lorenzo Brasco;Enea Parini;Marco Squassina

  • Weyl-type laws for fractional p-eigenvalue problems

    Antonio Iannizzotto;Marco Squassina

  • Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities

    Silvia Cingolani;Simone Secchi;Marco Squassina

  • The Brezis-Nirenberg problem for the fractional p-Laplacian

    Sunra Mosconi;Kanishka Perera;Marco Squassina;Yang Yang

  • Fractional Schrödinger-Poisson Systems with a General Subcritical or Critical Nonlinearity

    Jianjun Zhang;João Marcos do Ó;Marco Squassina

  • Stability and instability results for standing waves of quasi-linear Schrödinger equations

    Mathieu Colin;Louis Jeanjean;Marco Squassina

  • Existence results for double-phase problems via Morse theory

    Kanishka Perera;Marco Squassina

  • Ground states for fractional magnetic operators

    Pietro d'Avenia;Marco Squassina

  • Singular limit of differential systems with memory

    Monica Conti;Vittorino Pata;Marco Squassina

  • Semiclassical states for weakly coupled nonlinear Schrödinger systems

    Eugenio Montefusco;Benedetta Pellacci;Marco Squassina

  • Bifurcation and multiplicity results for critical fractional p-Laplacian problems

    Kanishka Perera;Marco Squassina;Yang Yang

  • Semiclassical limit for Schr"odinger equations with magnetic field and Hartree-type nonlinearities

    Silvia Cingolani;Simone Secchi;Marco Squassina

Frequent Co-Authors

Vittorino Pata
Vittorino Pata Polytechnic University of Milan
Louis Jeanjean
Louis Jeanjean University of Franche-Comté
Vieri Benci
Vieri Benci University of Pisa
Filippo Gazzola
Filippo Gazzola Polytechnic University of Milan
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Claudianor O. Alves
Claudianor O. Alves Federal University of Campina Grande
Patrizia Pucci
Patrizia Pucci University of Perugia
Wenming Zou
Wenming Zou Tsinghua University
Jean Van Schaftingen
Jean Van Schaftingen Université Catholique de Louvain

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