Zhenyu Guo, Michael Melgaard, Wenming Zou
Abstract:
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
Show me the PDF file (308 KB), TEX file for this article.
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Zhenyu Guo School of Sciences Liaoning Shihua University Fushun 113001, China email: guozy@163.com |
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Michael Melgaard Department of Mathematics University of Sussex Brighton BN1 9QH, Great Britain email: m.melgaard@sussex.ac.uk phone +44 (0) 1273 67 8933 |
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Wenming Zou Department of Mathematical Sciences Tsinghua University Beijing 100084, China email: wzou@math.tsinghua.edu.cn |
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