Critical elliptic systems involving multiple strongly–coupled Hardy–type terms

Autor: Kang Dongsheng, Liu Mengru, Xu Liangshun
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 866-881 (2019)
Druh dokumentu: article
ISSN: 2191-950X
DOI: 10.1515/anona-2020-0029
Popis: In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms. By the ODEs analysis methods, the asymptotic behaviors at the origin and infinity of solutions are proved. It is found that the singularities of u and v in the solution (u, v) are at the same level. Finally, an explicit form of least energy solutions is found under certain assumptions, which has all of the mentioned properties for the radial decreasing solutions.
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