Advances in Differential Equations
- Adv. Differential Equations
- Volume 25, Number 3/4 (2020), 135-160.
Solutions to upper critical fractional Choquard equations with potential
In this paper, the upper critical fractional Choquard equation is considered. The interest in studying such equation comes from its strong connections with mathematical physics, for example, the fractional quantum mechanics, the Lévy random walk models, and the dynamics of pseudo-relativistic boson stars. Another strong motivation is from some mathematical difficulties such as the coexistence of two fractional diffusions, the lack of compactness, and the attendance of the upper critical exponent. To overcome these difficulties, some methods and techniques need to be combined and a radially symmetric solution is obtained.
Adv. Differential Equations, Volume 25, Number 3/4 (2020), 135-160.
First available in Project Euclid: 21 March 2020
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Li, Xinfu; Ma, Shiwang; Zhang, Guang. Solutions to upper critical fractional Choquard equations with potential. Adv. Differential Equations 25 (2020), no. 3/4, 135--160. https://projecteuclid.org/euclid.ade/1584756037