Combining the dual least action principle with Mountain-pass lemma,we obtain the existence of brake orbits for first-order convex Hamiltonian systems with particular anisotropic growth.
基金supported by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2019L0766)the Doctoral Scientific Research Foundation of Shanxi Datong University+1 种基金supported by NNSF of China(Grant Nos.11471170 and 11790271)innovation and development project of Guangzhou University,and Nankai Zhide Foundation
文摘Combining the dual least action principle with Mountain-pass lemma,we obtain the existence of brake orbits for first-order convex Hamiltonian systems with particular anisotropic growth.