MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS
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.
作 者： Zdzistaw Denkowski Leszek Gasinski Nikolaos S. Papageorgiou 作者单位： Zdzistaw Denkowski Leszek Gasinski(Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, Cracow 30072, Poland)Nikolaos S. Papageorgiou(Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece)
刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2010 30(1) 分类号： O1 关键词： locally Lipschitz potential generalized subdifferential coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions