Associate Professor, Politecnico di Torino

Email: lorenzo.tentarelli AT polito.it

Home-page: https://sites.google.com/view/lorenzo-tentarelli/home

arxiv id: tentarelli_l_1

orcid id: 0000-0003-0986-9602

Available papers (27):

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• D. Finco - L. Tentarelli - A. Teta (Nonlinearity)
  Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity (2024)
• R. Adami - F. Boni - R. Carlone - L. Tentarelli (preprint)
  NLS ground states on a hybrid plane (2024)
• R. Adami - F. Boni - R. Carlone - L. Tentarelli (preprint)
  The search for NLS ground states on a hybrid domain: Motivations, methods, and results (2024)
• L. Tentarelli (Commun. Appl. Ind. Math.)
  A general review on the NLS equation with point-concentrated nonlinearity (2023)
• S. Dovetta - L. Tentarelli (J. Math. Pures Appl.)
  Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover (2022)
• R. Adami - F. Boni - R. Carlone - L. Tentarelli (J. Math. Phys.)
  Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect (2022)
• R. Adami - F. Boni - R. Carlone - L. Tentarelli (Calc. Var. Partial Differential Equations)
  Ground states for the planar NLSE with a point defect as minimizers of the constrained energy (2022)
• W. Borrelli - R. Carlone - L. Tentarelli (Commun. Math. Phys.)
  Complete ionization for a non-autonomous point interaction model in d=2 (2022)
• W. Borrelli - R. Carlone - L. Tentarelli (J. Differential Equations)
  On the nonlinear Dirac equation on noncompact metric graphs (2021)
• W. Borrelli - R. Carlone - L. Tentarelli (Springer INdAM Series)
  A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs (2021)
• R. Adami - R. Carlone - M. Correggi - L. Tentarelli (Mathematics in Engineering)
  Stability of the standing waves of the concentrated NLSE in dimension two (2021)
• S. Dovetta - L. Tentarelli (Oper. Theory Adv. Appl.)
  Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph (2020)
• R. Adami - R. Carlone - M. Correggi - L. Tentarelli (J. Differential Equations)
  Blow-up for the pointwise NLS in dimension two: absence of critical power (2020)
• W. Borrelli - R. Carlone - L. Tentarelli (SIAM J. Math. Anal.)
  Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit (2019)
• R. Carlone - M. Correggi - L. Tentarelli (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity (2019)
• L. Tentarelli - P. Tilli (J. Differential Equations)
  An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach (2019)
• R. Carlone - D. Finco - L. Tentarelli (Nonlinearity)
  Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one (2019)
• W. Borrelli - R. Carlone - L. Tentarelli (Symmetry)
  An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity (2019)
• S. Dovetta - L. Tentarelli (Calc. Var. Partial Differential Equations)
  $L^2$-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features (2019)
• L. Tentarelli - P. Tilli (Comm. Partial Differential Equations)
  De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations (2018)
• R. Carlone - R. Figari - C. Negulescu - L. Tentarelli (Nanosystems: Phys. Chem. Math.)
  Solvable models of quantum beating (2018)
• R. Carlone - M. Correggi - L. Tentarelli (Nanosystems: Phys. Chem. Math.)
  An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions (2018)
• R. Carlone - A. Fiorenza - L. Tentarelli (J. Funct. Anal.)
  The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions (2017)
• L. Tentarelli (J. Math. Anal. Appl.)
  NLS ground states on metric graphs with localized nonlinearities (2016)
• E. Serra - L. Tentarelli (J. Differential Equations)
  Bound states of the NLS equation on metric graphs with localized nonlinearities (2016)
• E. Serra - L. Tentarelli (Nonlinear Anal.)
  On the lack of bound states for certain NLS equations on metric graphs (2016)
• L. Tentarelli (Rend. Semin. Mat. Univ. Politec. Torino)
  On the extensions of the De Giorgi approach to nonlinear hyperbolic equations (2016)

Seminars:

• 29 jan 2020: On the Schrödinger equation with nonlinear point interactions in d = 2

Organizer:

• 9 jun 2025 - 13 jun 2025: Analytical Methods in Quantum and Classical Mechanics
• 29 nov 2021 - 3 dec 2021: Winter school: "Analytical Methods in Quantum and Continuum Mechanics"