Full Professor, Catholic University of Sacred Heart

Email: marco.squassina AT unicatt.it

Home-page: http://www.dmf.unicatt.it/~squassin/

Available papers (51):

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• X. Zhang - M. Squassina - J. Zhang (Preprint)
  Multiplicity of normalized solutions for the fractional Schrodinger equation with potentials (2024)
• L. Shen - M. Squassina (Preprint)
  Normalized solutions to the Chern-Simons-Schrodinger system: the supercritical case (2024)
• L. Shen - M. Squassina (Preprint)
  Planar Schrodinger-Poisson system with steep potential well: supercritical exponential case (2024)
• X. He - Y. Meng - M. Squassina (Preprint)
  Normalized solutions for a fractional Schrodinger-Poisson system with critical growth (2024)
• M. Gallo - M. Squassina (Submitted Paper)
  Concavity and perturbed concavity for $p$-Laplace equations (2024)
• S. Mosconi - G. Riey - M. Squassina (Preprint)
  Concave solutions to Finsler $p$-Laplace type equations (2023)
• N. Almousa - C. Bucur - R. Cornale - M. Squassina (Accepted Paper: Asymptotic Analysis)
  Concavity principles for nonautonomous elliptic equations and applications (2023)
• N. Almousa - J. Assettini - M. Gallo - M. Squassina (Differential Integral Equations)
  Concavity properties for quasilinear equations and optimality remarks (2023)
• M. Squassina - M. Yang - S. Zhao (Accepted Paper: Calculus of Variations PDEs)
  Local Uniqueness of blow-up solutions for critical Hartree equations in bounded domain (2022)
• W. Borrelli - S. J. N. Mosconi - M. Squassina (Rendiconti Lincei - Matematica e Applicazioni)
  Uniqueness of the critical point for solutions to some p-Laplace equations in the plane (2022)
• W. Borrelli - S. J. N. Mosconi - M. Squassina (Adv. Calc. Var.)
  Concavity properties for solutions to $p$-Laplace equations with concave nonlinearities (2021)
• C. Bucur - M. Squassina (Preprint)
  An asymptotic expansion for the fractional $p$-Laplacian and gradient dependent nonlocal operators (2020)
• C. Bucur - M. Squassina (Preprint)
  Approximate convexity principles and applications to PDEs in convex domains (2019)
• A. H. Ardila - L. Cely - M. Squassina (Accepted Paper: Asymptotic Anal.)
  Logarithmic Bose-Einstein condensates with harmonic potential (2019)
• A. Iannizzotto - S. J. N. Mosconi - M. Squassina (Preprint)
  Sobolev versus Holder minimizers for the degenerate fractional $p$-Laplacian (2019)
• W. Chen - S. J. N. Mosconi - M. Squassina (Accepted Paper: J. Funct. Anal.)
  Nonlocal problems with critical Hardy nonlinearity (2018)
• S. Di Marino - M. Squassina (Preprint)
  New characterizations of Sobolev metric spaces (2018)
• B. Vieri - L. Luperi Baglini - M. Squassina (Submitted Paper)
  Generalized solutions of variational problems and applications (2018)
• A. Iannizzotto - S. J. N. Mosconi - M. Squassina (Preprint)
  Fine boundary regularity for the degenerate fractional $p$-Laplacian (2018)
• J. Zhang - Z. Liu - M. Squassina (Accepted Paper)
  Modulational stability of ground states to nonlinear Kirchhoff equations (2018)
• D. D. Monticelli - F. Punzo - M. Squassina (Accepted Paper: Asymptotic Anal.)
  Nonexistence for hyperbolic problems on riemannian manifolds (2018)
• A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper : Journal of Mathematical Analysis and Applications)
  The Maz'ya-Shaposhnikova limit in the magnetic setting (2017)
• H. M. Nguyen - M. Squassina (Preprint)
  Logarithmic Sobolev inequality revisited (2017)
• K. Perera - M. Squassina (Submitted Paper)
  Bifurcation results for problems with fractional Trudinger-Moser nonlinearity (2017)
• V. Radulescu - M. Squassina (Advances in Nonlinear Analysis)
  A festschrift in honor of Professor Patrizia Pucci's 65th birthday (2017)
• H. M. Nguyen - M. Squassina (Submitted Paper)
  Some remarks on rearrangement for nonlocal functionals (2017)
• C. Alves - F. Gao - M. Squassina - M. Yang (Accepted Paper: J. Differential Equations)
  Singularly perturbed critical Choquard equations (2017)
• H. M. Nguyen - M. Squassina (Preprint)
  On anisotropic Sobolev spaces (2017)
• L. Brasco - M. Squassina (Accepted Paper: J. Differential Equations)
  Optimal solvability for a nonlocal problem at critical growth (2017)
• H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Advances in Nonlinear Analysis)
  New characterizations of magnetic Sobolev spaces (2017)
• A. H. Ardila - M. Squassina (Accepted Paper: Asymptotic Analysis)
  Gausson dynamics for logarithmic Schrodinger equations (2017)
• C. Bucur - M. Squassina (Preprint)
  Asymptotic mean value properties for fractional anisotropic operators (2017)
• H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper: Complex Variables and Elliptic Equations.)
  Some characterizations of magnetic Sobolev spaces (2017)
• M. Squassina - T. Watanabe (Preprint)
  Uniqueness of limit flow for a class of quasi-linear parabolic equations (2016)
• A. Canino - L. Montoro - B. Sciunzi - M. Squassina (Accepted Paper: Bulletin des Sciences Mathématiques)
  Nonlocal problems with singular nonlinearity (2016)
• X. Mingqi - P. Pucci - M. Squassina - B. Zhang (Accepted Paper: Discrete Continuous Dynamical Systems A)
  Nonlocal Schrodinger-Kirchhoff equations with external magnetic field (2016)
• P. d'Avenia - M. Squassina (Preprint: ESAIM Control Optim. Calc. Var.)
  Ground states for fractional magnetic operators (2016)
• K. Ho - K. Perera - I. Sim - M. Squassina (Preprint: J. Fixed Point Theory Applications )
  A note on fractional p-Laplacian problems with singular weights (2016)
• M. Squassina - B. Volzone (Preprint: C. R. Math. Acad. Sci. Paris)
  Brezis-Bourgain-Mironescu formula for magnetic operators (2016)
• K. Perera - M. Squassina (Accepted Paper: Comm. Contemporary Math.)
  Existence results for double phase problems via Morse Theory (2016)
• A. Iannizzotto - S. J. N. Mosconi - M. Squassina (Rev. Mat. Iberoam. )
  Global Holder regularity for the fractional p-Laplacian (2016)
• Z. Liu - M. Squassina - J. Zhang (Accepted Paper: NoDEA, Nonlinear Differential Equations Applications)
  Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension (2016)
• A. Pinamonti - M. Squassina - E. Vecchi (Advances in Calculus of Variations)
  Magnetic BV functions and the Bourgain-Brezis-Mironescu formula (2016)
• L. Brasco - M. Squassina - Y. Yang (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S)
  Global compactness results for nonlocal problems (2016)
• S. J. N. Mosconi - K. Perera - M. Squassina - Y. Yang (Preprint)
  The Brezis-Nirenberg problem for the fractional p-Laplacian (2015)
• L. Brasco - E. Parini - M. Squassina (Accepted Paper: Discrete Contin. Dyn. Syst.)
  Stability of variational eigenvalues for the fractional $p-$Laplacian (2015)
• L. Faria - O. Miyagaki - F. Pereira - M. Squassina - C. Zhang (Accepted Paper: Advances in Nonlinear Analysis)
  The Brezis-Nirenberg problem for nonlocal systems (2015)
• X. He - M. Squassina - W. Zou (Preprint)
  The Nehari manifold for fractional systems involving critical nonlinearities (2015)
• S. J. N. Mosconi - M. Squassina (Submitted Paper)
  Nonlocal problems at nearly critical growth (2015)
• L. Brasco - S. J. N. Mosconi - M. Squassina (Accepted Paper: Calc. Var. Partial Differential Equations)
  Optimal decay of extremals for the fractional Sobolev inequality (2015)
• F. Gazzola - M. Squassina (Accepted Paper)
  Global solutions and finite time blow up for damped semilinear wave equations (2004)

Seminars:

• 27 feb 2013: On the Schrodinger-Newton system

Speaker:

• 29 may 2018 - 30 may 2018: New trends in PDE
• 29 may 2018 - 30 may 2018: New trends in PDEs
• 6 oct 2016 - 8 oct 2016: Research Meeting on Non-local Operators

Organizer:

• 29 sep 2023 - 29 sep 2023: Brescia - Trento nonlinear day, 4° edition
• 31 may 2019 - 31 may 2019: Brescia - Trento Nonlinear Day - Ed. III
• 25 may 2018 - 25 may 2018: Brescia-Trento Nonlinear Day Ed. II
• 21 sep 2017 - 22 sep 2017: Nonlinear Days in Turin
• 26 may 2017 - 26 may 2017: Brescia-Trento Nonlinear Days