TY - JOUR ID - 679 TI - New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Liao‎, F‎. ‎F‎. ‎ AU - Tang, X‎. ‎H‎. ‎ AU - Qin, D. D. AD - School of Mathematics and Statistics Central South University Changsha‎, ‎410083‎, ‎Hunan \newline Department of Mathematics‎, ‎Xiangnan University‎, ‎Chenzhou‎, ‎423000‎, ‎Hunan‎, ‎P.R‎. ‎China AD - School of Mathematics and Statistics Central South University Changsha‎, ‎410083‎, ‎Hunan‎, ‎P.R‎. ‎China AD - School of Mathematics and Statistics Central South University Changsha‎, ‎410083‎, ‎Hunan‎, ‎P.R‎. ‎China Y1 - 2015 PY - 2015 VL - 41 IS - 5 SP - 1131 EP - 1146 KW - Hamiltonian elliptic system‎ KW - ‎superlinear‎ KW - ‎ground state solutions‎ KW - ‎strongly indefinite functionals‎ DO - N2 - 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 $g$. UR - http://bims.iranjournals.ir/article_679.html L1 - http://bims.iranjournals.ir/article_679_372071dc741478798df76bfd0df0b3cd.pdf ER -