1
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan \newline Department of Mathematics, Xiangnan University, Chenzhou, 423000, Hunan, P.R. China
2
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. China
Abstract
This paper is concerned with the following elliptic system: $$ left{ begin{array}{ll} -triangle u + b(x)nabla u + V(x)u=g(x, v), -triangle v - b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and establish the existence of ground state solutions with mild assumptions on $f$ and $g$.
Liao, F. &. &., Tang, X. &. &., & Qin, D. D. (2015). New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms. Bulletin of the Iranian Mathematical Society, 41(5), 1131-1146.
MLA
Liao, F. &. &., Tang, X. &. &., & Qin, D. D. "New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms", Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1131-1146.
HARVARD
Liao F. &. &., Tang X. &. &., Qin D. D. (2015). 'New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1131-1146.
CHICAGO
F. &. &. Liao, X. &. &. Tang & D. D. Qin, "New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms," Bulletin of the Iranian Mathematical Society, 41 5 (2015): 1131-1146,
VANCOUVER
Liao F. &. &., Tang X. &. &., Qin D. D. New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms. BIMS. 2015;41(5):1131-1146.
