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MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS |
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| Authors: | Zdzistaw Denkowski Leszek Gasinski Nikolaos S. Papageorgiou |
| Affiliation: | [1]Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, Cracow 30072, Poland [2]Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece |
| Abstract: | We study nonautonomonus second order periodic systems with a nonsmooth potential.Using the nonsmooth critical theory,we establish the existence of at least two nontrivial solutions.Our framework incorporates large classes of both subquadratic and superquadratic potentials at infinity. |
| Keywords: | locally Lipschitz potential generalized subdifferential coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions |
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