Open AccessSolitary waves for a fractional Klein–Gordon–Maxwell equations
Author(s) -
Zhang Xin
Publication year - 2021
Publication title -
electronic journal on the qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2021.1.94
Subject(s) - mathematics , maxwell's equations , klein–gordon equation , compact space , mathematical physics , basis (linear algebra) , mathematical analysis , physics , nonlinear system , quantum mechanics , geometry
We investigate existence of solutions for a fractional Klein–Gordoncoupled with Maxwell's equation. On the basis of overcoming the lack ofcompactness, we obtain that there is a radially symmetric solution for thecritical system by means of variational methods.