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On nonlinear Schrödinger equations on the hyperbolic space
Published 3 Sep 2020 in math.AP | (2009.01602v1)
Abstract: We study existence of weak solutions for certain classes of nonlinear Schr\"{o}dinger equations on the Poincar\'{e} ball model $\mathbb{B}N$, $N\geq 3$. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution.
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