期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 66, 期 3, 页码 663-675出版社
SPRINGER BASEL AG
DOI: 10.1007/s00033-014-0412-y
关键词
Nonlinear Choquard equation; Nonlocal nonlinearity; Electromagnetic potential; Vortex-type solutions
资金
- Fondecyt (Chile) [3140539]
- CONACYT [129847]
- UNAM-DGAPA-PAPIIT (Mexico) [IN106612]
We consider the stationary nonlinear magnetic Choquard equation where is a magnetic potential and is a bounded electric potential. For a given group of linear isometries of , we assume that A(gx) = gA(x) and W(gx) = W(x) for all . Under some assumptions on the decay of A and W at infinity, we establish the existence of solutions to this problem which satisfy where is a given continuous group homomorphism into the unit complex numbers.
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