On nonlinear Schrödinger equations on the hyperbolic space

Abstract

We study existence of weak solutions for certain classes of nonlinear Schrödinger equations on the Poincaré ball model ${\mathbb{B}}^N$, $N\ge 3$. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution.

References in corpus (1)

• Nondegeneracy of Positive solutions of a Semilinear elliptic problem in the Hyperbolic space