Symmetry for solutions of two-phase semilinear elliptic equations on hyperbolic space

Isabeau Birindelli, Rafe Mazzeo

Assume that $f(s)=F^{\prime }(s)$ where $F$ is a double-well potential. Under certain conditions on the Lipschitz constant of $f$ on $[-1,1]$, we prove that arbitrary bounded global solut…