Nonlinear oscillations for the one-dimensional wave equation with a jump nonlinearity

DOI10.1134/S0012266106100090zbMath1140.35332OpenAlexW1969595331WikidataQ115253459 ScholiaQ115253459MaRDI QIDQ2480452

Hunan Xu, Q-Heung Choi

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106100090

zbMATH Keywords

mountain pass theoremduality principlerationality condition

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• A symmetry theorem and applications to nonlinear partial differential equations
• A mountain pass method for the numerical solution of semilinear wave equations
• An application of a variational reduction method to a nonlinear wave equation
• Dual variational methods in critical point theory and applications
• Hamiltonian trajectories having prescribed minimal period
• Nontrivial solutions for some fourth order semilinear elliptic problems
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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