Journal
APPLIED MATHEMATICS LETTERS
Volume 132, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108169
Keywords
Dirac equation; Coulomb potential; Asymptotically periodic; Ground state solutions
Categories
Funding
- Natural Science Foundation of Hunan Province [2019JJ40142, 2021JJ30189]
- Key project of Scientific Research Project of Department of Education of Hunan Province, China [21A0387]
- Funding scheme for Young Backbone Teachers of universities in Hunan Province, China [574]
- China Scholarship Council [201908430218]
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This paper studies the existence and asymptotic analysis of ground states for the nonlinear Dirac equation with a singular potential. By using variational tools from the non-Nehari manifold method under the asymptotically periodic condition, we establish a global compactness result and prove the existence of ground state solution, the continuous dependence of ground state energy on the parameter, and the asymptotic convergence of solutions.
In this paper we study the existence and asymptotic analysis of ground states for nonlinear Dirac equation with singular potential. Under the asymptotically periodic condition, using variational tools from non-Nehari manifold method, we establish a global compactness result and we prove that the existence of ground state solution and the continuous dependence of ground state energy about parameter as well as the asymptotic convergence of solutions. (c) 2022 Elsevier Ltd. All rights reserved.
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