Regularity of stable solutions to semilinear elliptic equations on Riemannian models

Daniele Castorina, Manel Sanchon

We consider the reaction-diffusion problem $-{\Delta }_{g}u=f(u)$ in ${\mathcal{B}}_R$ with zero Dirichlet boundary condition, posed in a geodesic ball ${\mathcal{B}}_R$ with radius $R$ of a…