{"paper":{"title":"Existence of multi-peak solutions for a class of quasilinear problems in Orlicz-Sobolev spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ailton R. da Silva, Claudianor O. Alves","submitted_at":"2016-08-12T11:06:56Z","abstract_excerpt":"The aim of this work is to establish the existence of multi-peak solutions for the following class of quasilinear problems \\[ - \\mbox{div}\\big(\\epsilon^{2}\\phi(\\epsilon|\\nabla u|)\\nabla u\\big) + V(x)\\phi(| u|)u = f(u)\\quad \\mbox{in} \\quad \\mathbb{R}^{N}, \\] where $\\epsilon$ is a positive parameter, $ N\\geq 2$, $V, f$ are continuous functions satisfying some technical conditions and $\\phi$ is a $C^{1}$-function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03750","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"}