In: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations. Providence, RI: American Mathematical Society (AMS), 2018. 163-175 (Fields Inst. Monogr. ; 36)
As it was shown in Chap. 1, positive solutions of semilinear second order elliptic problems have symmetry and monotonicity properties which reflect the symmetry of the operator and of the domain.