Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity

被引：5

作者：

He, Yubo ^{[1
]}

Qin, Dongdong ^{[2
]}

Chen, Dongdong ^{[1
]}

机构：

[1] Huaihua Univ, Dept Math & Appl Math, Huaihua, Peoples R China

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

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 01期

关键词：

Hamiltonian elliptic system; Super-quadratic; Asymptotically quadratic; Ground states; Strongly indefinite functionals; LEAST ENERGY SOLUTIONS; MULTIPLE SOLUTIONS; SCHRODINGER-EQUATION; EXISTENCE; THEOREMS;

D O I：

10.1186/s13661-019-1270-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the Hamiltonian elliptic system: {-Delta phi+V(x)phi=G psi(x,phi,psi)in RN, -Delta psi+V(x)psi=G phi(x,phi,psi)in R-N, phi,psi is an element of H1(RN). Assuming that the potential V is periodic and 0 lies in a spectral gap of sigma(-Delta+V), least energy solution of the system is obtained for the super-quadratic case with a new technical condition, and the existence of ground state solutions of Nehari-Pankov type is established for the asymptotically quadratic case. The results obtained in the paper generalize and improve related ones in the literature.

引用

页数：20

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