Electronic Journal of Differential Equations (Aug 2017)

Schrodinger equations with magnetic fields and Hardy-Sobolev critical exponents

  • Zhenyu Guo,
  • Michael Melgaard,
  • Wenming Zou

Journal volume & issue
Vol. 2017, no. 199,
pp. 1 – 18

Abstract

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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.

Keywords