In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed charact...In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed characteristics on convex compact hypersurfaces in R 2n pinched by not necessarily symmetric convex compact hypersurfaces.展开更多
基金Partially supported by the 973 Program of STM,Funds of EC of Jiangsuthe Natural Science Funds of Jiangsu(BK 2002023)+1 种基金the Post-doctorate Funds of Chinathe NNSF of China(10251001)Partially supported by the 973 Program of STM,NNSF,MCME,RFDP,PMC
文摘In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed characteristics on convex compact hypersurfaces in R 2n pinched by not necessarily symmetric convex compact hypersurfaces.