Qualitative properties of stationary solutions of the NLS on the hyperbolic space without and with external potentials

DOI10.3934/cpaa.2019118zbMath1483.35226OpenAlexW2926247918WikidataQ127856405 ScholiaQ127856405MaRDI QIDQ2069897

Yanyan Li

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019118

zbMATH Keywords

blow-uphyperbolic spacevariational characterizationNehari manifoldconcentrationNLSPohozaev manifold

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
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• The Nonlinear Schrödinger Equation on Hyperbolic Space
• Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space
• Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

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