Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent

This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrodinger-Poisson system $$ -\Delta u +u + \phi u = |u|^4u +\mu h(x)u, \quad -\Delta \phi = u^2 \quad\text{in }\mathbb{R}^3. $$ Under suitable assumptions on the coeff...

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Bibliographic Details
Main Authors: Jianqing Chen, Lirong Huang, Eugenio M. Rocha
Format: Article
Language:English
Published: Texas State University 2019-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/28/abstr.html