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Batkam","submitted_at":"2013-05-24T16:22:32Z","abstract_excerpt":"In this paper, we consider the elliptic system \\begin{equation*}\n  \\left\\{\\begin{array}{ll}\n  -\\Delta u=g(x,v)\\,\\, \\textnormal{in}\\Omega, & \\hbox{}\n  -\\Delta v=f(x,u)\\,\\,\\textnormal{in}\\Omega, & \\hbox{} u=v=0\\textnormal{on}\\partial\\Omega, & \\hbox{}\n  \\end{array}\n  \\right. \\end{equation*} where $\\Omega$ is a bounded smooth domain in $\\mathbb{R}^N$, and $f$ and $g$ satisfy a general superquadratic condition. By using variational methods, we prove the existence of infinitely many solutions. 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Batkam","submitted_at":"2013-05-24T16:22:32Z","abstract_excerpt":"In this paper, we consider the elliptic system \\begin{equation*}\n  \\left\\{\\begin{array}{ll}\n  -\\Delta u=g(x,v)\\,\\, \\textnormal{in}\\Omega, & \\hbox{}\n  -\\Delta v=f(x,u)\\,\\,\\textnormal{in}\\Omega, & \\hbox{} u=v=0\\textnormal{on}\\partial\\Omega, & \\hbox{}\n  \\end{array}\n  \\right. \\end{equation*} where $\\Omega$ is a bounded smooth domain in $\\mathbb{R}^N$, and $f$ and $g$ satisfy a general superquadratic condition. By using variational methods, we prove the existence of infinitely many solutions. 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