Boundary value problems and Liouville theorems for semilinear elliptic equations on Riemannian manifolds
The paper deals with solvability of boundary value problems of Dirichlet type for elliptic equations of the form \[ \Delta u= u\phi(| u| ) \] on noncompact Riemannian manifolds without boundary. Here \(\phi(\xi)\geq0\) is a monotone increasing, continuously differentiable function for \(\xi\in[0,\infty).\)
scientific article; zbMATH DE number 5155773