Schrodinger equations with magnetic fields and Hardy-Sobolev critical exponents

This article is motivated by problems in astrophysics. We consider nonlinear Schrodinger equations and related systems with magnetic fields and Hardy-Sobolev critical exponents. Under proper conditions, existence of ground state solutions to these equations and systems are established.

Bibliographic Details
Main Authors: Zhenyu Guo, Michael Melgaard, Wenming Zou
Format: Article
Language:English
Published: Texas State University 2017-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/199/abstr.html