Some existence results for a periodic problem with non-smooth potential
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Publication:984101
DOI10.1016/j.na.2010.04.061zbMath1204.34021OpenAlexW2007741505MaRDI QIDQ984101
Guoqing Zhang, Yunkai Wang, Jia-yu Shao, San-Yang Liu
Publication date: 13 July 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.04.061
Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Ordinary differential inclusions (34A60)
Cites Work
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- Periodic solutions of singular nonautonomous second order differential equations
- Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues
- Critical point theory and the number of solutions of a nonlinear Dirichlet problem
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Forced singular oscillators and the method of lower and upper solutions
- On a three critical points theorem
- On an elliptic boundary value problem at double resonance
- Existence and uniqueness results for some nonlinear boundary value problems
- Two nontrivial solutions for periodic systems with indefinite linear part
- An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities
- Two nontrivial critical points for nonsmooth functionals via local linking and applications
- A reduction method for some nonlinear dirichlet problems
- Remarks on finding critical points
- Time-maps for the solvability of periodically perturbed nonlinear duffing equations
- Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
- ON THE EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR EQUATIONS DRIVEN BY THE $p$-LAPLACIAN AND WITH A NON-SMOOTH POTENTIAL
- On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems
