标题
A guide to the Choquard equation
作者
关键词
Choquard equation, Pekar polaron, Schrödinger–Newton equation, focusing Hartree equation, attractive nonlocal interaction, Riesz potential, 35Q55 (35R09, 35J91)
出版物
Journal of Fixed Point Theory and Applications
Volume 19, Issue 1, Pages 773-813
出版商
Springer Nature
发表日期
2016-11-17
DOI
10.1007/s11784-016-0373-1
参考文献
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- (2016) Silvia Cingolani et al. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
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- (2014) Dengfeng Lü Mediterranean Journal of Mathematics
- The Schrödinger–Newton equation and its foundations
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- (2013) PIETRO D'AVENIA et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
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