45 citations · 187 across the 43 of their papers we have counts for
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math.AP2019★ 3 cited
A Liouville type theorem for fractional elliptic equation with exponential nonlinearity
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we are concerned with stable solutions to the fractional elliptic equation $$ (-Δ)^s u=e^u\mbox{ in }\mathbb R^{N}, $$ where is the fractional Laplacian wit…
math.AP2019★ 17 cited
Supercritical Moser-Trudinger inequalities and related elliptic problems
Quôc Anh Ngô, Van Hoang Nguyen
Given , we establish the following two supercritical Moser-Trudinger inequalities \[ \sup\limits_{u \in W^{1,n}_{0,{\rm rad}}(B): \int_B |\nabla u|^n dx \leq 1} \int_B \exp\bi…
math.AP2019★ 14 cited
A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
Quôc Anh Ngô, Van Hoang Nguyen
A Sobolev type embedding for radially symmetric functions on the unit ball in , , into the variable exponent Lebesgue space , $2^…