Journal
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Volume 19, Issue 1, Pages 773-813Publisher
SPRINGER BASEL AG
DOI: 10.1007/s11784-016-0373-1
Keywords
Choquard equation; Pekar polaron; Schrodinger-Newton equation; focusing Hartree equation; attractive nonlocal interaction; Riesz potential
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We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations -Delta u + V(x) u = (vertical bar x vertical bar(-(N-alpha)) * vertical bar u vertical bar(p)) vertical bar u vertical bar(p-2) u in R-N, and some of its variants and extensions.
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