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20162019
most citedUniqueness and Regularity of Unbounded Weak Solutions to a Class of Cross Diffusion Systems

2 citations · 3 across the 3 of their papers we have counts for

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math.AP20192 cited

Uniqueness and Regularity of Unbounded Weak Solutions to a Class of Cross Diffusion Systems

Dung Le

We establish the uniqueness and regularity of weak (and very weak) solutions to a class of cross diffusion systems which is inspired by models in mathematical biology/ecology, in p…

math.AP2017

On the Solvability of a Class of Degenerate or Singular Strongly Coupled Parabolic Systems

Dung Le

The existence of strong solutions to general class of strongly coupled parabolic systems will be discussed. These systems can be degenerate or singular as boundedness of theirs sol…

math.AP20171 cited

Existence of Strong Solutions to Degenerate or Singular Strongly Coupled Elliptic Systems

Dung Le

A general class of strongly coupled elliptic systems with quadratic growth in gradients is considered and the existence of their strong solutions is established. The results greatl…

math.AP2016

Global Existence and Global Attractors of Cross Diffusion Systems on Planar Domains

Dung Le

Global existence of strong solutions and the existence of global and atrractors are established for generalized Shigesada-Kawasaki-Teramoto models on planar domains. The cross diff…

math.AP2016

Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains

Dung Le

The global existence of classical solutions to cross diffusion systems of more than 2 equations given on a planar domain is established. The results can apply to generalized Shiges…

math.AP2016

Existence of Strong and Nontrivial Solutions to Strongly Coupled Elliptic Systems

Dung Le

We establish the existence of strong solutions to a class of nonlinear strongly coupled and uniform elliptic systems consisting of more than two equations. The existence of of nont…