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math.FA2020★ 2 cited
An optimal Hardy-Littlewood-Sobolev inequality on and its consequences
Quôc Anh Ngô, Quoc-Hung Nguyen, Van Hoang Nguyen
For , , and , we establish the following optimal Hardy-Littlewood-Sobolev inequality \[ \Big| \iint_{\mathbf R^n \times \mathbf R^{n-k}} \frac{f(x) g(y)}…
math.AP2020★ 24 cited
Existence and non-existence results for the higher order Hardy-Hénon equation revisited
Quôc Anh Ngô, Dong Ye
This paper is devoted to studies of non-negative, non-trivial (classical, punctured, or distributional) solutions to the higher order Hardy-Hénon equations \[ (-Δ)^m u = |x|^σu^p \…