Schrödinger equations with magnetic fields and Hardy-Sobolev critical exponents

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. <i>Electronic Journal of Differential Equations, 2017</i>(199), pp. 1-18.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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