On nonlinear Schrödinger equations on the hyperbolic spaceCencelj, Matija (Avtor) Faragó, István (Avtor) Horváth, Róbert (Avtor) Repovš, Dušan (Avtor) Schrödinger equationPoincaré ball modelPalais principleLaplace-Beltrami operatorHadamard manifoldKirchhoff-type problemWe 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.20202020-09-07 07:46:16Članek v reviji119296sl