We study existence of radially symmetric solutions for the nonlinear Choquard equation. Using a Lagrange formulation of the problem, we develop new deformation arguments under a version of the Palais-Smale condition introduced in the recent papers by Ikoma and Tanaka and we prove the existence of a ground state solution for the nonlinear Choquard equation with prescribed mass, when $F$ satisfies Berestycki-Lions type conditions.
Ground state solutions for the nonlinear Choquard equation with prescribed mass
Silvia Cingolani
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2021-01-01
Abstract
We study existence of radially symmetric solutions for the nonlinear Choquard equation. Using a Lagrange formulation of the problem, we develop new deformation arguments under a version of the Palais-Smale condition introduced in the recent papers by Ikoma and Tanaka and we prove the existence of a ground state solution for the nonlinear Choquard equation with prescribed mass, when $F$ satisfies Berestycki-Lions type conditions.File in questo prodotto:
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