MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS  

作　　者：Zdzislaw Denkowski Leszek Gasiński Nikolaos S.Papageorgiou 

机构地区：[1]Institute of Computer Science,Jagiellonian University [2]Department of Mathematics,National Technical University,Zografou Campus,Athens 15780,Greece

出　　处：《Acta Mathematica Scientia》2010年第1期350-358,共9页数学物理学报（B辑英文版）

基　　金：supported by the State Committee for Scientific Research of Poland (KBN) under research grants nr 2 P03A 003 25 and nr 4T07A 027 26

摘　　要：We study nonautonomonus second order periodic systems with a nonslnooth 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.We study nonautonomonus second order periodic systems with a nonslnooth 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.

关 键 词：locally Lipschitz potential generalized subdifferentiM coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions 

分 类 号：O175[理学—数学]