A CLASS OF CRITICAL KIRCHHOFF PROBLEM ON THE HYPERBOLIC SPACE

DOI10.1017/S0017089518000563zbMath1435.58002OpenAlexW2912467943MaRDI QIDQ5203858

Augusto César dos Reis Costa, Paulo Cesar Carrião, Olímpio Hiroshi Miyagaki

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089518000563

zbMATH Keywords

mountain pass theoremhyperbolic spaceHardy inequalityKirchhoff problem

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) PDEs on manifolds (35R01)

Related Items (3)

Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space ⋮ Exponential decay for semilinear wave equation with localized damping in the hyperbolic space ⋮ Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case

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