Prefer a chat interface with context about you and your work?
The Unique Continuation Property of Sublinear Equations
We derive the unique continuation property of a class of semilinear elliptic equations with non-Lipschitz nonlinearities. The simplest type of equations to which our results apply is given as $-\Delta u = |u|^{\sigma-1} u$ in a domain $\Omega \subset \mathbb{R}^{N}$ with $0 \le \sigma <1$. Despite the sublinear character of …