HOMOCLINIC ORBITS FOR THE FIRST-ORDER HAMILTONIAN SYSTEM WITH SUPERQUADRATIC NONLINEARITY

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

来源：Taiwanese Journal of Mathematics, 2015, 19(3): 673-690.

DOI：10.11650/tjm.19.2015.4073

• Homoclinic orbits
• First-order Hamiltonian system
• Ground state solutions
• Generalized linking theorem

In this paper, we consider the following first-order 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). By applying the variant generalized weak linking theorem for strongly indefinite problem developed by Schechter and Zou, we establish nontrivial and ground state solutions for the above system under conditions weaker than those in [39].

• 出版日期2015-6
• 单位中南大学