On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations

Hongjie Dong, Seick Kim, Mikhail Safonov

We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_{+}^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable…