Zhenyu Guo, Michael Melgaard, Wenming Zou
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.
Submitted May 1, 2016. Published August 11, 2017.
Math Subject Classifications: 35Q55, 35A15, 47J30, 81V10.
Key Words: Ground state; magnetic field; concentration-compactness; Hardy-Sobolev critical exponent
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| Zhenyu Guo |
School of Sciences
Liaoning Shihua University
Fushun 113001, China
| Michael Melgaard |
Department of Mathematics
University of Sussex
Brighton BN1 9QH, Great Britain
phone +44 (0) 1273 67 8933
|Wenming Zou |
Department of Mathematical Sciences
Beijing 100084, China
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