The existence of periodic solutions of nonlinear wave equations on Sn
From MaRDI portal
Publication:3762969
DOI10.1080/03605308708820511zbMath0627.35063OpenAlexW2091623962MaRDI QIDQ3762969
Publication date: 1987
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308708820511
monotonicitygrowthexistenceapproximationcritical pointsnonlinear wave equationvariational methodPerturbationsT-periodic solutionsinfinitely many pairs of solutions
Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70) Perturbations in context of PDEs (35B20)
Related Items (4)
Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear monotone wave equations ⋮ Sobolev Estimates for the Wave Operator on compact Manifolds ⋮ The wave operator on \(S^ n:\) Estimates and applications ⋮ Subharmonic solutions of nonlinear wave equations on \(S^n\)
Cites Work
- Unnamed Item
- The dual method in critical point theory. Multiplicity results for indefinite functional
- Critical point theorems for indefinite functionals
- Periodic solutions of a nonlinear wave equation without assumption of monotonicity
- Topological results on a certain class of functionals and application
- Periodic solutions of nonlinear vibrating strings and duality principles
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Infinitely many periodic solutions for the equation
- Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
- Forced vibrations for a nonlinear wave equation
This page was built for publication: The existence of periodic solutions of nonlinear wave equations on Sn