Grants and Projects
INdAM–GNAMPA project 2023 Modelli nonlineari in presenza di interazioni puntuali (Member)
International Emerging Action (IEA) 2022 Nonlinear Schrödinger equations on metric graphs (Local Coordinator)
INdAM–GNAMPA project 2022 Modelli matematici con singolarità per fenomeni di interazione (Coordinator)
INdAM–GNAMPA project 2020 Modelli differenziali alle derivate parziali per fenomeni di interazione (Coordinator)
European COST ACTION CA18232 Mathematical models for interacting dynamics on networks (Member)
PRIN 2015 Variational methods, with applications to problems in mathematical physics and geometry (Member)
Publications
Submitted
Barbera D., Boni F., Dovetta S., Tentarelli L., Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions. (ArXiv)
Published in journals
De Coster C., Dovetta S., Galant D., Serra E., An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations, Ann. Inst. H. Poincaré C Anal. Non Linéaire, in press. (Journal)
Dovetta S., Jeanjean L., Serra E., Normalized solutions of L^2-supercritical NLS equations on noncompact metric graphs, Proc. Royal Soc. Edinburgh Sec. A: Math., to appear. (ArXiv)
De Coster C., Dovetta S., Galant D., Serra E., Troestler C., Constant sign and sign changing NLS ground states on noncompact metric graphs, Anal. & PDE, to appear. (ArXiv)
Dovetta S., Non-uniqueness of normalized ground states for nonlinear Schrödinger equations on metric graphs, Proc. London Math. Soc. 130(2) (2025), e70025. (Journal)
Boni F., Dovetta S., Serra E., Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects, J. Funct. Anal. 288(4) (2025), 110760. (Journal)
Chen H., Dovetta S., Pistoia A., Serra E., Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs, Nonlinearity 37 (2024), 075022. (Journal)
Dovetta S., Singular limit of periodic metric grids, Adv. Math. 444 (2024), 109633. (Journal)
Ayuso de Dios B., Dovetta S., Spinolo L.V., On the continuum limit of epidemiological models on graphs: convergence and approximation results, M3AS: Math. Mod. Meth. Appl. Sc. 34(8) (2024), 1483–1532. (Journal)
De Coster C., Dovetta S., Galant D., Serra E., On the notion of ground state for nonlinear Schrödinger equations on metric graphs, Calc. Var. PDE (2023) 62:159. (Journal)
Dovetta S., Serra E., Tilli P., Action versus energy ground states in nonlinear Schrödinger equations, Math. Ann. 385 (2023), 1545–1576. (Journal)
Boni F., Dovetta S., Doubly nonlinear Schrödinger ground states on metric graphs, Nonlinearity 35, (2022), 3283–3323. (Journal)
Adami R., Boni F., Dovetta S., Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs, J. Funct. Anal. 283(1) (2022), 109483. (Journal)
Dovetta S., Marconi E., Spinolo L.V., New regularity results for scalar conservation laws and applications to a source–destination model for traffic flows on networks, SIAM J. Math. Anal. 54(3) (2022), 3019–3053. (Journal)
Dovetta S., Tentarelli L., Symmetry breaking in two–dimensional square grids: persistence and failure of the dimensional crossover, J. Math. Pures Appl. 160 (2022), 99–157. (Journal)
Dovetta S., Marconi E., Spinolo L.V., Initial–boundary value problems for merely bounded nearly incompressible vector fields in one space dimension, J. Diff. Eq. 307 (2022), 250–296. (Journal)
Dovetta S., Pistoia A., Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime, Math. Eng. 4(4) (2022), 1–21. (Journal)
Boni F., Dovetta S., Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one, J. Math. Anal. Appl. 496(1), (2021), 124797. (Journal)
Dovetta S., Serra E., Tilli P., Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs, Adv. Math. 374 (2020), 107352. (Journal)
Dovetta S., Serra E., Tilli P., NLS ground states on metric trees: existence results and open questions, J. London Math. Soc. 102(3) (2020), 1223–1240. (Journal)
Dovetta S., Ghimenti M., Micheletti A.M., Pistoia A., Peaked and low action solutions of NLS equations on graphs with terminal edges, SIAM J. Math. Anal. 52(3) (2020), 2874–2894. (Journal)
Braides A., Cermelli P., Dovetta S., Gamma-limit of the cut functional on dense graph sequences, ESAIM: COCV 26 (2020), 26. (Journal)
Dovetta S., Tentarelli L., Ground states of the L^2−critical NLS equation with localized nonlinearity on a tadpole graph, Operator Theory: Adv. Appl. 281 (2020), 113–125. (Journal)
Dovetta S., Tentarelli L., L^2–critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features, Calc. Var. PDE 58(3) (2019), 58:108. (Journal)
Adami R., Dovetta S., Ruighi A., Quantum graphs and dimensional crossover: the honeycomb, Comm. Appl. Ind. Math. 10(1) (2019), 109–122. (Journal)
Dovetta S., Mass–constrained ground states of the stationary NLSE on periodic metric graphs, NoDEA (2019) 26:30. (Journal)
Adami R., Dovetta S., Serra E., Tilli P., Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs, Anal. & PDE 12(6) (2019), 1597—1612. (Journal)
Adami R., Dovetta S., One-dimensional versions of three-dimensional system: ground states for the NLS on the spatial grid, Rend. Mat. Appl. 39(7) (2018), 181–194. (Journal)
Cacciapuoti C., Dovetta S., Serra E., Variational and stability properties of constant solutions to the NLS equation on compact metric graphs, Milan J. Math. 86(2), (2018), 305–327. (Journal)
Dovetta S., Existence of infinitely many stationary solutions of the L^2–subcritical and critical NLSE on compact metric graphs, J. Diff. Eq. 264(7), (2018), 4806–4821. (Journal)