Schrödinger equations with magnetic fields and Hardy-Sobolev critical exponents
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Date
2017-08-11
Authors
Guo, Zhenyu
Melgaard, Michael
Zou, Wenming
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Ground state, Magnetic field, Concentration-compactness, Hardy-Sobolev critical exponent
Citation
Guo, Z., Melgaard, M., & Zou, W. (2017). Schrödinger equations with magnetic fields and Hardy-Sobolev critical exponents. Electronic Journal of Differential Equations, 2017(199), pp. 1-18.
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Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.