Dung Le

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20212025

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math.AP2025

Weak local Gagliardo-Nirenberg type inequalities with a BMO term

Dung Le

An improvement of a global Gagliardo-Nienberg inequality with a BMO term is established.

math.AP2024

On the smallness of mean oscillations on metric-measure spaces and applications

Dung Le

It will be established that the mean oscillation of a function on a metric-measure space $X \times Y$ will be small if its mean oscillation on $X$ is small and some simple informati…

math.AP2023

Global Existence to a Class of Triangular Block Matrix Cross Diffusion Systems and the Spectral Gap Condition

Dung Le

We study the global existence of classical solutions to cross diffusion systems of $m$ equations on $N$ -dimensional domains ( $m, N \geq 2$ ). The diffusion matrix is a triangular block…

math.AP2023

Regularity of Solutions to a Class of Degenerate Cross Diffusion Systems of $m$ Equations

Dung Le

We study the regularity of weak solutions and the global existence of classical to cross-diffusion systems of $m$ equations on $N$ -dimensional domains ( $m, N \geq 2$ ).

Weak local Gagliardo-Nirenberg type inequalities with a BMO term

On the smallness of mean oscillations on metric-measure spaces and applications

Global Existence to a Class of Triangular Block Matrix Cross Diffusion Systems and the Spectral Gap Condition

Regularity of Solutions to a Class of Degenerate Cross Diffusion Systems of m Equations

Regularity of Solutions to a Class of Degenerate Cross Diffusion Systems of $m$ Equations