Journal
ASYMPTOTIC ANALYSIS
Volume 96, Issue 2, Pages 135-159Publisher
IOS PRESS
DOI: 10.3233/ASY-151337
Keywords
Choquard equation; magnetic field; variational methods; penalization techniques; Ljusternik-Schnirelmann theory
Categories
Funding
- CNPq/Brazil [301292/2011-9, 552101/2011-7, 500001/2013-8, 301807/2013-2]
- NSFC [11101374]
- ZJNSF [LY15A010010]
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In the present paper, we study the existence of multiple solutions for a nonlinear Choquard equation in the presence of a magnetic field. Using variational methods, penalization techniques and Ljusternik-Schnirelmann theory, we relate the number of solutions with the topology of the set where the potential attains its minimum value.
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