On the nonlinear Schrödinger equation on the Poincaré ball model

DOI10.1016/J.NA.2020.111812zbMath1447.58025OpenAlexW3007070813MaRDI QIDQ2202206

Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111812

zbMATH Keywords

variational methodshyperbolic spacemultiple solutionsPoincaré ball modelelliptic problem on manifolds

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on manifolds (35R01)

Related Items (4)

Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries ⋮ On nonlinear Schrödinger equations on the hyperbolic space ⋮ A flower-shape geometry and nonlinear problems on strip-like domains ⋮ Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities

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