MULTIPLE SOLUTIONS FOR NONAUTONOMOUS

时间:2023-05-03 00:09:54 数理化学论文 我要投稿
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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  

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