报告题目：Existence of Homoclinic orbits for Hamiltonian systems with asymptotic properties

时间：3月16日下午20:40

地点：25教学楼1802报告厅

报告人：西南大学数学与统计学院 吕颖 副教授

摘要：In this talk, we first discuss the existence of homoclinic orbits for a class of asymptotically quadratic second order Hamiltonian systems. Via the variational method, two new theorems are proved. Then we discuss a class of second-order asymptotically periodic Hamiltonian systems. Under reformative conditions and a weaker superquadratic condition on the nonlinearity, the existence of ground state homoclinic orbits is obtained. The main tools employed are the Local Mountain Pass Theorem and the Concentration-Compactness Principle.