[tentarelli]

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

- 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 (
*Comm. 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)

*29 nov 2021 - 3 dec 2021:*Winter school: "Analytical Methods in Quantum and Continuum Mechanics"