| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615670 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
In this paper, we study the following Maxwell–Dirac system with magnetic field and general nonlinearity{∑k=13αk(−i∂k+Ak)u+aβu+ωu−βA0u=Fu(x,u),−ΔA0=4π(βu)u¯=4π|u|2,−ΔAk=4π(αku)u¯,k=1,2,3, for x∈R3x∈R3. Since this problem is strongly indefinite, we use linking and concentration compactness arguments to establish the existence of ground state solutions for this system.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jian Zhang, Xianhua Tang, Wen Zhang,