{ "id": "1409.0910", "version": "v1", "published": "2014-09-02T22:50:20.000Z", "updated": "2014-09-02T22:50:20.000Z", "title": "Multiplicity of solutions of some quasilinear equations in ${\\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities", "authors": [ "Claudianor O. Alves", "José L. P. Barreiro", "José V. A. Gonçalves" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1409.0140", "categories": [ "math.AP" ], "abstract": "In this paper, we prove multiplicity of solutions for a class of quasilinear problems in $ \\mathbb{R}^{N} $ involving variable exponents and nonlinearities of concave-convex type. The main tools used are variational methods, more precisely, Ekeland's variational principle and Nehari manifolds.", "revisions": [ { "version": "v1", "updated": "2014-09-02T22:50:20.000Z" } ], "analyses": { "keywords": [ "variable exponents", "quasilinear equations", "concave-convex nonlinearities", "multiplicity", "ekelands variational principle" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.0910A" } } }