Edit Profile (opens in new tab) Tentarelli, Lorenzo Co-Author Distance Author ID: tentarelli.lorenzo Published as: Tentarelli, Lorenzo External Links: ORCID Documents Indexed: 26 Publications since 2016, including 4 Additional arXiv Preprints Co-Authors: 12 Co-Authors with 21 Joint Publications 206 Co-Co-Authors all top 5 Co-Authors 3 single-authored 15 Carlone, Raffaele 6 Adami, Riccardo 4 Boni, Filippo 4 Borrelli, William 4 Correggi, Michele 3 Dovetta, Simone 2 Finco, Domenico 2 Tilli, Paolo 1 Figari, Rodolfo 1 Fiorenza, Alberto 1 Negulescu, Claudia 1 Teta, Alessandro all top 5 Serials 4 Journal of Differential Equations 2 Nonlinearity 2 Calculus of Variations and Partial Differential Equations 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Symmetry 1 Communications in Applied and Industrial Mathematics 1 Mathematics in Engineering all top 5 Fields 23 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 274 times in 95 Documents Cited by ▼ Year ▼ NLS ground states on metric graphs with localized nonlinearities. Zbl 1321.05278 Tentarelli, Lorenzo 31 2016 Bound states of the NLS equation on metric graphs with localized nonlinearities. Zbl 1408.35206 Serra, Enrico; Tentarelli, Lorenzo 28 2016 \(L^2\)-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features. Zbl 1432.35212 Dovetta, Simone; Tentarelli, Lorenzo 26 2019 On the lack of bound states for certain NLS equations on metric graphs. Zbl 1347.35226 Serra, Enrico; Tentarelli, Lorenzo 25 2016 Nonlinear Dirac equation on graphs with localized nonlinearities: bound states and nonrelativistic limit. Zbl 1411.35263 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 24 2019 The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions. Zbl 1530.47060 Carlone, Raffaele; Fiorenza, Alberto; Tentarelli, Lorenzo 16 2017 Blow-up for the pointwise NLS in dimension two: absence of critical power. Zbl 1436.35051 Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 15 2020 On the nonlinear Dirac equation on noncompact metric graphs. Zbl 1457.35045 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 15 2021 Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. Zbl 1410.35196 Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 15 2019 Ground states for the planar NLSE with a point defect as minimizers of the constrained energy. Zbl 1497.35398 Adami, Riccardo; Boni, Filippo; Carlone, Raffaele; Tentarelli, Lorenzo 14 2022 Ground states of the \(L^2\)-critical NLS equation with localized nonlinearity on a tadpole graph. Zbl 1473.35503 Dovetta, Simone; Tentarelli, Lorenzo 11 2020 Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect. Zbl 1509.35272 Adami, Riccardo; Boni, Filippo; Carlone, Raffaele; Tentarelli, Lorenzo 9 2022 An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity. Zbl 1416.35287 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 9 2019 Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one. Zbl 1421.35299 Carlone, Raffaele; Finco, Domenico; Tentarelli, Lorenzo 8 2019 Stability of the standing waves of the concentrated NLSE in dimension two. Zbl 1494.35143 Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 8 2021 De Giorgi’s approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations. Zbl 1421.35199 Tentarelli, Lorenzo; Tilli, Paolo 6 2018 An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach. Zbl 1429.35148 Tentarelli, Lorenzo; Tilli, Paolo 4 2019 Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover. Zbl 1486.35007 Dovetta, Simone; Tentarelli, Lorenzo 4 2022 On the extensions of the De Giorgi approach to nonlinear hyperbolic equations. Zbl 1440.35214 Tentarelli, Lorenzo 3 2016 Complete ionization for a non-autonomous point interaction model in \(\mathrm{d}=2\). Zbl 1507.81077 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 2 2022 A general review on the NLS equation with point-concentrated nonlinearity. Zbl 1523.35250 Tentarelli, Lorenzo 1 2023 A general review on the NLS equation with point-concentrated nonlinearity. Zbl 1523.35250 Tentarelli, Lorenzo 1 2023 Ground states for the planar NLSE with a point defect as minimizers of the constrained energy. Zbl 1497.35398 Adami, Riccardo; Boni, Filippo; Carlone, Raffaele; Tentarelli, Lorenzo 14 2022 Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect. Zbl 1509.35272 Adami, Riccardo; Boni, Filippo; Carlone, Raffaele; Tentarelli, Lorenzo 9 2022 Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover. Zbl 1486.35007 Dovetta, Simone; Tentarelli, Lorenzo 4 2022 Complete ionization for a non-autonomous point interaction model in \(\mathrm{d}=2\). Zbl 1507.81077 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 2 2022 On the nonlinear Dirac equation on noncompact metric graphs. Zbl 1457.35045 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 15 2021 Stability of the standing waves of the concentrated NLSE in dimension two. Zbl 1494.35143 Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 8 2021 Blow-up for the pointwise NLS in dimension two: absence of critical power. Zbl 1436.35051 Adami, Riccardo; Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 15 2020 Ground states of the \(L^2\)-critical NLS equation with localized nonlinearity on a tadpole graph. Zbl 1473.35503 Dovetta, Simone; Tentarelli, Lorenzo 11 2020 \(L^2\)-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features. Zbl 1432.35212 Dovetta, Simone; Tentarelli, Lorenzo 26 2019 Nonlinear Dirac equation on graphs with localized nonlinearities: bound states and nonrelativistic limit. Zbl 1411.35263 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 24 2019 Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. Zbl 1410.35196 Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo 15 2019 An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity. Zbl 1416.35287 Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo 9 2019 Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one. Zbl 1421.35299 Carlone, Raffaele; Finco, Domenico; Tentarelli, Lorenzo 8 2019 An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach. Zbl 1429.35148 Tentarelli, Lorenzo; Tilli, Paolo 4 2019 De Giorgi’s approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations. Zbl 1421.35199 Tentarelli, Lorenzo; Tilli, Paolo 6 2018 The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions. Zbl 1530.47060 Carlone, Raffaele; Fiorenza, Alberto; Tentarelli, Lorenzo 16 2017 NLS ground states on metric graphs with localized nonlinearities. Zbl 1321.05278 Tentarelli, Lorenzo 31 2016 Bound states of the NLS equation on metric graphs with localized nonlinearities. Zbl 1408.35206 Serra, Enrico; Tentarelli, Lorenzo 28 2016 On the lack of bound states for certain NLS equations on metric graphs. Zbl 1347.35226 Serra, Enrico; Tentarelli, Lorenzo 25 2016 On the extensions of the De Giorgi approach to nonlinear hyperbolic equations. Zbl 1440.35214 Tentarelli, Lorenzo 3 2016 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 19 Tentarelli, Lorenzo 18 Dovetta, Simone 13 Carlone, Raffaele 12 Adami, Riccardo 10 Serra, Enrico 9 Tilli, Paolo 7 Boni, Filippo 6 Borrelli, William 5 Cacciapuoti, Claudio 5 Correggi, Michele 5 Finco, Domenico 5 Noja, Diego 4 Georgiev, Vladimir S. 4 Michelangeli, Alessandro 4 Soave, Nicola 3 Chang, Xiaojun 3 Ding, Yanheng 3 Dong, Xiaojing 3 Guo, Qi 3 Pelinovsky, Dmitry Efimovich 3 Pozo, Juan Carlos 2 Dugandžija, Nevena 2 Ikeda, Masahiro 2 Jeanjean, Louis 2 Kairzhan, Adilbek 2 Pierotti, Dario 2 Pistoia, Angela 2 Posilicano, Andrea 2 Qi, Shijie 2 Scandone, Raffaele 2 Stefanelli, Ulisse 2 Teta, Alessandro 2 Tuan, Tran Van 2 Vergara, Vicente 2 Vojnović, Ivana 1 Agrachev, Andreĭ Aleksandrovich 1 Alekseev, Anton Yur’evich 1 Ammari, Kais 1 Audrito, Alessandro 1 Azevedo, Joelma 1 Banjai, Lehel 1 Baranzini, Stefano 1 Bathory, Michal 1 Bchatnia, Ahmed 1 Berkolaiko, Gregory 1 Beschastnyi, Ivan Yu. 1 Borthwick, Jack A. 1 Boussaid, Nabile 1 Briet, Philippe 1 Cassano, Biagio 1 Cely, Liliana 1 Chen, Haixia 1 Chen, Pan 1 Comech, Andrew 1 Costa, Masterson 1 Cuevas, Claudio 1 De Coster, Colette 1 Falconi, Marco 1 Fukaya, Noriyoshi 1 Fukuizumi, Reika 1 Galant, Damien 1 Gallone, Matteo 1 Ghimenti, Marco G. 1 Goloshchapova, Nataliia 1 Goodman, Roy H. 1 Hamano, Masaru 1 Holmer, Justin 1 Inui, Takahisa 1 Kennedy, James Bernard 1 Krejčiřík, David 1 Lan, Do 1 Li, Fuyi 1 Li, Xiaoguang 1 Li, Yuhua 1 Liu, Lele 1 López-Fernández, María 1 Lotoreichik, Vladimir 1 Mainini, Edoardo 1 Marcellini, Paolo 1 Marzuola, Jeremy Louis 1 Mas, Albert 1 Mehenaoui, Naima 1 Mertens, Franz G. 1 Micheletti, Anna Maria 1 Oddis, Luca 1 Olivieri, Marco 1 Ourmiéres-Bonafos, Thomas 1 Percivale, Danilo 1 Quintero, Niurka R. 1 Ramadan, Abba Ibrahim 1 Reginato, Linda 1 Rohleder, Jonathan 1 Ruighi, Alice 1 Sacchetti, Andrea 1 Sánchez-Rey, Bernardo 1 Scarpa, Luca 1 Schlein, Benjamin 1 Shi, Junping 1 Shimizu, Ikkei 1 Silva, Clessius ...and 11 more Authors all top 5 Cited in 42 Serials 9 Nonlinearity 9 Journal of Differential Equations 6 Calculus of Variations and Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Communications in Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Mathematical Analysis and Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Physics A: Mathematical and Theoretical 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Communications on Pure and Applied Analysis 2 Communications in Applied and Industrial Mathematics 1 Journal of Computational Physics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Oberwolfach Reports 1 Operators and Matrices 1 Mathematical Modelling of Natural Phenomena 1 Symmetry 1 Analysis and Mathematical Physics 1 Minimax Theory and its Applications 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications all top 5 Cited in 26 Fields 85 Partial differential equations (35-XX) 43 Quantum theory (81-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 15 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 3 Combinatorics (05-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year