MULTIPLE SOLUTIONS FOR NONAUTONOMOUS

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   作者單位： 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： 數學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2010 30(1)  分類號： O1  關鍵詞： locally Lipschitz potential   generalized subdifferential   coercive functional   critical point   local linking theorem   nonsmooth Palais-Smale condition   multiple nontrivial solutions  

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