Periodic solutions of a wave equation with concave and convex nonlinearities
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Publication:1284431
DOI10.1006/JDEQ.1998.3551zbMath0926.35013OpenAlexW2912620585MaRDI QIDQ1284431
Yanheng Ding, Thomas J. Bartsch, Cheng Lee
Publication date: 31 May 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3551
Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)
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Cites Work
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- Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
- Forced vibrations of superquadratic Hamiltonian systems
- Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms
- Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
- Periodic solutions of a nonlinear wave equation without assumption of monotonicity
- Periodic solutions of symmetric wave equations
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Critical point theory for perturbations of symmetric functionals
- Periodic solutions for a class of nonautonomous wave equations
- Multiplicity results for some nonlinear elliptic equations
- Infinitely Many Periodic Solutions for the Equation: u tt - u xx ± | u | p-1 u = f(x, t). II
- Periodic solutions of nonlinear vibrating strings and duality principles
- Large amplitude time periodic solutions of a semilinear wave equation
- Subharmonic oscillations of a semilinear wave equation
- Multiple Critical Points of Perturbed Symmetric Functionals
- Morse index of some min-max critical points. I. Application to multiplicity results
- A Perturbation Method in Critical Point Theory and Applications
- Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
- Periodic solutions of hamiltonian systems
- Periodic solutions of a superlinear wave equation
- A new proof and an extension of a theorem of P. Rabinowitz concerning nonlinear wave equations
- On an Elliptic Equation with Concave and Convex Nonlinearities
- Critical-point theory with applications to asymptotically linear wave and beam equations
- Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry
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