3 papers
math.AP2026
Gagliardo-Nirenberg type inequalities with a BMO term and fractional Laplacians
Dung Le
An improvement of a {\em Global (strong) Gagliardo-Nienberg inequality with a BMO term} is established by replacing local derivatives by {\em and fractional Laplacians.} Local vers…
math.AP2024
Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems
Dung Le
Local indices at isolated fixed points of a differentiable compact nonlinear map on Banach spaces will be discussed. These results are applied to establish the existence of non…
math.AP2024
On the smallness of mean oscillations and regularity of weak solutions to regular/degenerate strongly coupled parabolic systems
Dung Le
It will be established that the mean oscillation of bounded weak solutions to strongly coupled parabolic systems is small in small balls. If the systems are regular elliptic then t…