{ "id": "1312.6998", "version": "v1", "published": "2013-12-25T18:20:31.000Z", "updated": "2013-12-25T18:20:31.000Z", "title": "Multiplicity of Positive Solutions of P-Laplacian Systems With Sign-Changing Weight Functions", "authors": [ "Seyyed Sadegh Kazemipoor", "Mahboobeh Zakeri" ], "categories": [ "math.AP" ], "abstract": "In this paper, we study the multiplicity of positive solutions for the p-Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.", "revisions": [ { "version": "v1", "updated": "2013-12-25T18:20:31.000Z" } ], "analyses": { "subjects": [ "35D30", "35J05", "35J20" ], "keywords": [ "sign-changing weight functions", "positive solutions", "p-laplacian systems", "multiplicity", "nehari manifold" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.6998S" } } }