@article {GEORGIEV20181551,
	title = {On fractional powers of singular perturbations of the Laplacian},
	journal = {Journal of Functional Analysis},
	volume = {275},
	number = {6},
	year = {2018},
	pages = {1551 - 1602},
	abstract = {<p>We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into regular and singular parts. We also qualify the norms of the resulting singular fractional Sobolev spaces and their mutual control with the corresponding classical Sobolev norms.</p>},
	keywords = {Point interactions, Regular and singular component of a point-interaction operator, Singular perturbations of the Laplacian},
	issn = {0022-1236},
	doi = {https://doi.org/10.1016/j.jfa.2018.03.007},
	url = {http://www.sciencedirect.com/science/article/pii/S0022123618301046},
	author = {Vladimir Georgiev and Alessandro Michelangeli and Raffaele Scandone}
}
@article {2004,
	title = {Solitary waves for Maxwell Schrodinger equations},
	journal = {Electron. J. Differential Equations (2004) 94},
	number = {SISSA;11/2002/M},
	year = {2004},
	publisher = {SISSA Library},
	abstract = {In this paper we study solitary waves for the coupled system of Schrodinger-Maxwell equations in the three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed L^2 norm. We study the asymptotic behavior and the smoothness of these solutions. We show also that the eigenvalues are negative and the first one is isolated.},
	url = {http://hdl.handle.net/1963/1582},
	author = {Giuseppe Maria Coclite and Vladimir Georgiev}
}
