### Speaker

Dr
Thi Nguyet Nga TA
(University of science, VNU-HCMUS)

### Description

We study stationary equation governed by the operator $ -\nabla \cdot A(x, \nabla u) =
\mu$ in the case where $A(x, \xi)$ is a maximal monotone graph and $\mu$ is a Radon measure. Our main interest concerns the typical situation where $A(x, .)$ is defined only in a bounded region of $\mathbf{R}^n$; so that $A(x, .)$ does not satisfies the standard polynomial growth control condition. The natural energy space in this case is the space of Lipschitz continuous function and the flux is a vector valued measure. We using tangential gradient with respect to a Radon measure to pass through this difficulty.

### Primary author

Dr
Thi Nguyet Nga TA
(University of science, VNU-HCMUS)