{ "id": "1409.0140", "version": "v1", "published": "2014-08-30T18:15:43.000Z", "updated": "2014-08-30T18:15:43.000Z", "title": "Multiple solutions for a class of quasilinear problems involving variable exponents", "authors": [ "Claudianor O. Alves", "José L. P. Barreiro" ], "categories": [ "math.AP" ], "abstract": "In this paper we prove the multiplicity of solutions for a class of quasilinear problems in $ \\mathbb{R}^{N} $ involving variable exponents. The main tool used is in the proof are the direct methods, Ekeland's variational principle and some properties related to Nehari manifold.", "revisions": [ { "version": "v1", "updated": "2014-08-30T18:15:43.000Z" } ], "analyses": { "keywords": [ "quasilinear problems", "variable exponents", "multiple solutions", "ekelands variational principle", "main tool" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.0140A" } } }