@article{7c6d6369739048689880084679ad97d2,
title = "Symmetric ground states for doubly nonlocal equations with mass constraint",
abstract = "We prove the existence of a spherically symmetric solution for a Schr{\"o}dinger equation with a nonlocal nonlinearity of Choquard type. This term is assumed to be subcritical and satisfy almost optimal assumptions. The mass of of the solution, described by its norm in the Lebesgue space, is prescribed in advance. The approach to this constrained problem relies on a Lagrange formulation and new deformation arguments. In addition, we prove that the obtained solution is also a ground state, which means that it realizes minimal energy among all the possible solutions to the problem.",
keywords = "Choquard nonlinearity, Double nonlocality, Fractional Laplacian, Hartree term, Lagrange formulation, Nonlinear Schr{\"o}dinger equation, Normalized solutions, Pohozaev identity, Symmetric solutions",
author = "Silvia Cingolani and Marco Gallo and Kazunaga Tanaka",
note = "Funding Information: Funding: The first and second authors are supported by PRIN 2017JPCAPN “Qualitative and quantitative aspects of nonlinear PDEs” and by INdAM-GNAMPA. The second author is supported in part by Grant-in-Aid for Scientific Research (19H00644, 18KK0073, 17H02855, 16K13771) of Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2021 by the authors.",
year = "2021",
month = jul,
doi = "10.3390/sym13071199",
language = "English",
volume = "13",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "7",
}