SIX SOLUTIONS FOR THE SEMILINEAR WAVE EQUATION WITH NONLINEARITY CROSSING THREE EIGENVALUES

DOI10.11568/KJM.2012.20.3.361OpenAlexW4238015067MaRDI QIDQ5863409

Q-Heung Choi, Tacksun Jung

Publication date: 11 March 2022

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.3.361

zbMATH Keywords

contraction mapping principleboundary value problemgeometric mappingnonlinearity crossing three eigenvalues

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
• Nonlinear oscillations in a suspension bridge
• Global bifurcation and a theorem of Tarantello
• An application of a variational reduction method to a nonlinear wave equation
• Multiplicity results for nonlinear wave equations with nonlinearities crossing eigenvalues
• On the multiplicity of the solution set of some nonlinear boundary value problems

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