arXiv subjects

Farhad Hatami

Publications and source records attributed to Farhad Hatami.

2 recordsLinked to original sources

arXiv2019

Very degenerate elliptic equations under almost critical Sobolev regularity

We prove the local Lipschitz continuity and the higher differentiability of local minimizers of integral functionals with non autonomous integrand which is degenerate convex with respect to the gradient variable. The main novelty here is that the results are obtained assuming that the coefficients have weak derivative in an almost critical Zygmund class and the datum f is assumed to belong to the same Zygmund class.

math.AP↗

arXiv2013

On the global existence solution for a chemotaxis model

This paper has been withdrawn by the authors. We consider the attraction-repulsion chemotaxis system (3 complicated PDEs system) under homogeneous Neumann boundary conditions in a bounded domain Ω with smooth boundary, then the classical solutions to the system are uniformly-in-time bounded. After the local existence and uniqueness of solutions was proved, some priory estimates and proves will be established for the global existence of solutions (see the complete abstract in the PDF version of paper).

math.AP↗