{"paper":{"title":"Multiple solutions for p-Laplacian type problems with asymptotically p-linear terms via a cohomological index theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A.M. Candela, G. Palmieri, K. Perera","submitted_at":"2013-10-02T12:27:13Z","abstract_excerpt":"The aim of this paper is investigating the existence of weak solutions of the quasilinear elliptic model problem \\[ \\left\\{\\begin{array}{lr} - \\divg (A(x,u)\\, |\\nabla u|^{p-2}\\, \\nabla u) + \\dfrac1p\\, A_t(x,u)\\, |\\nabla u|^p\\ =\\ f(x,u) & \\hbox{in $\\Omega$,}\\\\ u\\ = \\ 0 & \\hbox{on $\\partial\\Omega$,} \\end{array} \\right. \\] where $\\Omega \\subset \\R^N$ is a bounded domain, $N\\ge 2$, $p > 1$, $A$ is a given function which admits partial derivative $A_t(x,t) = \\frac{\\partial A}{\\partial t}(x,t)$ and $f$ is asymptotically $p$-linear at infinity.\n  Under suitable hypotheses both at the origin and at in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0679","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"}