Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 492, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.124516
Keywords
Schrodinger equation; Poincare ball model; Palais principle; Laplace-Beltrami operator; Hadamard manifold; Kirchhoff-type problem
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Funding
- Slovenian Research Agency [P1-0292, N1-0114, N1-0083, N1-0064, J1-8131]
- National Challenges Program of the National Research, Development and Innovation Office grant [BME NC TKP2020]
- Hungarian Ministry of Human Capacities OTKA [SNN125119]
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We study existence of weak solutions for certain classes of nonlinear Schrodinger equations on the Poincare ball model B-N, N >= 3. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution. (C) 2020 Elsevier Inc. All rights reserved.
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