In this paper, we study a singularly perturbed Schrödinger-Poisson system and prove the existence of a semiclassical ground state solution with exponential decay at infinity using some new techniques and subtle analysis, because of the general assumptions required here for the first time. We extend several recent results on the subject.

Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations

Patrizia Pucci
;
2020

Abstract

In this paper, we study a singularly perturbed Schrödinger-Poisson system and prove the existence of a semiclassical ground state solution with exponential decay at infinity using some new techniques and subtle analysis, because of the general assumptions required here for the first time. We extend several recent results on the subject.
2020
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1453462
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