{"paper":{"title":"On a superquadratic elliptic system with strongly indefinite structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cyril J. 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. Our argument relies on the application of a generalized variant fountain theorem for strongly indefinite fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5780","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}