Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models

E. Berchio, A. Ferrero, M. Vallarino

We consider least energy solutions to the nonlinear equation $-{\Delta }_{g}u=f(r,u)$ posed on a class of Riemannian models $(M,g)$ of dimension $n\ge 2$ which include the classical hyperbo…