Existence of solutions for a fractional elliptic problem with critical Sobolev-Hardy nonlinearities in R^N

Autor: Lingyu Jin, Shaomei Fang
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 12,, Pp 1-23 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study the fractional elliptic equation with critical Sobolev-Hardy nonlinearity $$\displaylines{ (-\Delta)^{\alpha} u+a(x) u=\frac{|u|^{2^*_{s}-2}u}{|x|^s}+k(x)|u|^{q-2}u,\cr u\in H^\alpha(\mathbb{R}^N), }$$ where $24\alpha$, $0
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