Here is the complete list of publications produced within the project.
Published in journals
Adami R., Lee J., Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction, J. Funct. Anal. 288(10) (2025), 110866. journal website
Arioli G., Cangiotti N., Valente G., Approximations that matter: virtual particles as carriers of interactions, Synthese 205, Article 57 (2025). journal website
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 website
Barbera D., Murata M., The Lp −Lq maximal regularity for the Beris-Edwards model in the half-plane, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2024), 56. journal website
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 website
Borrelli W., Correggi M., Fermi D., Pauli Hamiltonians with an Aharonov–Bohm flux, J. Spectr. Theory 14 (2024), no. 3, 1147–1193. journal website
Borrelli W., Morellini U., Global well-posedness in a Hartree-Fock model for graphene, J. Phys. A: Math. Theor. 58 215202. journal website
Cangiotti, N., Capolli, M., Morrey–Campanato functional spaces for Carnot groups, Banach J. Math. Anal. 19, 31 (2025). journal website
Cangiotti N., Feynman diagrams beyond physics: from biology to economy, Mathematics, 12(9) (2004), 1295. journal website
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 website
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 website
Dovetta S., Non-uniqueness of normalized ground states for nonlinear Schrödinger equations on metric graphs, Proc. London Math. Soc. 130(2) (2025), e70025. journal website
Dovetta S., Singular limit of periodic metric grids, Adv. Math. 444 (2024), 109633. journal website
Finco D., Tentarelli L., Teta A., Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity, Nonlinearity 37 (2024), no. 1, article number 015009, 48pp. journal website
Preprints
Adami R., Boni F., Carlone R., Tentarelli L., NLS ground states on a hybrid plane. ArXiv
Adami R., Boni F., Carlone R., Tentarelli L., The search for NLS ground states on a hybrid domain: Motivations, methods, and results. ArXiv
Barbera D., Boni F., Dovetta S., Tentarelli L., Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions. (ArXiv)
Borrelli W., Wu R., On the nodal set of solutions to Dirac equations. ArXiv
De Coster C. , Dovetta S. , Galant D. , Serra E. , Troestler C. , Constant sign and sign changing NLS ground states on noncompact metric graphs. (ArXiv)
Dovetta S., Jeanjean L., Serra E., Normalized solutions of L^2-supercritical NLS equations on noncompact metric graphs. ArXiv