HOMOCLINIC ORBITS OF NONPERIODIC SUPERQUADRATIC HAMILTONIAN SYSTEM

作者：Zhang, Jian; Tang, Xianhua^*; Zhang, Wen

来源：Taiwanese Journal of Mathematics, 2013, 17(6): 1855-1867.

DOI：10.11650/tjm.17.2013.3139

• Homoclinic orbits
• First-order Hamiltonian system
• Ground state solutions
• Generalized Nehari manifold

In this paper, we study the following first-order nonperiodic Hamiltonian system
(z) over dot = JH(z)(t, z),
where H is an element of C-1 (R x R-2N, R) is the form H(t, z) = 1/2 L(t)z . z + R(t, z). Under weak superquadratic condition on the nonlinearitiy. By applying the generalized Nehari manifold method developed recently by Szulkin and Weth, we prove the existence of homoclinic orbits, which are ground state solutions for above system.

• 出版日期2013-12
• 单位中南大学