{"paper":{"title":"Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chunshan Zhao, Jinghua Yao, Li Yin, Qihu Zhang","submitted_at":"2016-07-03T02:55:16Z","abstract_excerpt":"We investigate the following Dirichlet problem with variable exponents: \\begin{equation*} \\left\\{ \\begin{array}{l} -\\bigtriangleup _{p(x)}u=\\lambda \\alpha (x)\\left\\vert u\\right\\vert ^{\\alpha (x)-2}u\\left\\vert v\\right\\vert ^{\\beta (x)}+F_{u}(x,u,v),\\text{ in }\\Omega , \\\\ -\\bigtriangleup _{q(x)}v=\\lambda \\beta (x)\\left\\vert u\\right\\vert ^{\\alpha (x)}\\left\\vert v\\right\\vert ^{\\beta (x)-2}v+F_{v}(x,u,v),\\text{ in }\\Omega , \\\\ u=0=v,\\text{ on }\\partial \\Omega. \\end{array} \\right. \\end{equation*} We present here, in the system setting, a new set of growth conditions under which we manage to use a no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00584","kind":"arxiv","version":1},"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"}