Subharmonic solutions of nonlinear wave equations on \(S^n\)

DOI10.1007/BF01783477zbMath0990.35098MaRDI QIDQ1817930

Addolorata Salvatore, Alberto Capozzi

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

periodic solutionLaplace-Beltrami operatornonlinear wave equationminimax principleeigenvalue of infinite multiplicity

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Variational principles in infinite-dimensional spaces (58E30) Hyperbolic equations on manifolds (58J45)

Cites Work

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• The dual method in critical point theory. Multiplicity results for indefinite functional
• The wave operator on \(S^ n:\) Estimates and applications
• Periodic solutions of Hamiltonian systems with superquadratic potential
• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• A ``Birkhoff-Lewis type result for a class of Hamiltonian systems
• Spherical harmonics
• Periodic solutions for the semilinear spherical wave equation
• The existence of periodic solutions of nonlinear wave equations on Sⁿ
• Elliptic Partial Differential Equations of Second Order
• A Birkhoff-Lewis Type Result for a Semilinear Wave Equation

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