8 citations · 17 across the 13 of their papers we have counts for
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The weighted -Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we study the weighted -Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. Firstly, we prove a family of the sharp…
Liouville Type Results for Quasilinear Elliptic Inequalities Involving Gradient Terms on Weighted Graphs
Anh Tuan Duong, Yao Liu, Nguyên Công Minh +2
In this paper, we study the following quasi-linear elliptic inequality on weighted graphs, where $(m,p,q)\in (1,\infty)\times\mathbb{R}\times\…
Non-existence results for a system of wave inequalities on locally finite graphs
Anh Tuan Duong, Tuan Anh Dao
Let be a locally finite, connected and weighted graph. We study non-existence results of non-trivial, non-negative solutions of the system $$ \begin{cases} u_{t t}-Δu \geq h_1|…
Blow up results and lifespan estimates for nonlinear damped wave equations on weighted graphs
Tuan Anh Dao, Anh Tuan Duong
In this article, we are interested in studying the Cauchy problems for nonlinear damped wave equations and their systems on a weighted graph. Our main purpose is two-fold, namely,…
Liouville type theorems for fractional elliptic problems
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we establish Liouville type theorems for stable solutions on the whole space to the fractional elliptic equation where the nonlinearit…
A Liouville type theorem for fractional elliptic equation with exponential nonlinearity
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we are concerned with stable solutions to the fractional elliptic equation $$ (-Δ)^s u=e^u\mbox{ in }\mathbb R^{N}, $$ where is the fractional Laplacian wit…