HOMOCLINIC ORBITS OF NONPERIODIC SUPERQUADRATIC HAMILTONIAN SYSTEM

被引：7

作者：

Zhang, Jian ^{[1
]}

Tang, Xianhua ^{[1
]}

Zhang, Wen ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 06期

关键词：

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

D O I：

10.11650/tjm.17.2013.3139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1855 / 1867

页数：13

共 50 条

[21] Homoclinic orbits for an unbounded superquadratic
Jun Wang
Junxiang Xu
Fubao Zhang
Lei Wang
[J]. Nonlinear Differential Equations and Applications NoDEA, 2010, 17 : 411 - 435
[22] HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SUPERQUADRATIC OR ASYMPTOTICALLY QUADRATIC POTENTIALS
Wang, Jun
Xu, Junxiang
Zhang, Fubao
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 269 - 286
[23] On the existence of periodic and homoclinic orbits for first order superquadratic Hamiltonian systems
Adel Daouas
[J]. Nonlinear Differential Equations and Applications NoDEA, 2013, 20 : 1347 - 1364
[24] Homoclinic orbits of a Hamiltonian system
Y. Ding
M. Willem
[J]. Zeitschrift für angewandte Mathematik und Physik ZAMP, 1999, 50 : 759 - 778
[25] Homoclinic orbits of a Hamiltonian system
Ding, YH
Willem, M
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1999, 50 (05): : 759 - 778
[26] Homoclinic orbits for an unbounded superquadratic
Wang, Jun
Xu, Junxiang
Zhang, Fubao
Wang, Lei
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2010, 17 (04): : 411 - 435
[27] Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems with Some Twisted Conditions
Wang, Qi
Zhang, Qingye
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[28] THE EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER SUPERQUADRATIC HAMILTONIAN SYSTEMS
Guo, Chengjun
Agarwal, Ravi P.
Wang, Chengjiang
O'Regan, Donal
[J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2014, 61 : 83 - 102
[29] MULTI-BUMP HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SUPERQUADRATIC POTENTIAL
Alves, C. O.
Carriao, P. C.
Miyagaki, O. H.
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (03): : 859 - 877
[30] Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system
Ding, Yanheng
Lee, Cheng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (07) : 2829 - 2848

← 1 2 3 4 5 →