Special Session 138: 

Elliptic equations with Hardy potential and gradient nonlinearity

Tai Nguyen
Masaryk University
Czech Rep
Co-Author(s):    Konstantinos Gkikas
Abstract:
In this talk, I will discuss the boundary value problem with measure data for equation (E) $-\Delta u - \frac{\mu}{\delta^2}u + g(|\nabla u|) = 0$ in a smooth bounded domain $\Omega$, where $\mu$ is a parameter and $\delta$ denotes the distance function to $\partial \Omega$. I will show the existence and uniqueness result. I will also describe the isolated singularities of solutions.