{ "id": "1912.09615", "version": "v1", "published": "2019-12-20T02:28:40.000Z", "updated": "2019-12-20T02:28:40.000Z", "title": "Existence of positive solution for a singular elliptic problem with an asymptotically linear nonlinearity", "authors": [ "Ricardo Lima Alves" ], "categories": [ "math.AP" ], "abstract": "In this paper we consider the existence of positive solutions for a singular elliptic problem involving an asymtotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence and regularity of the solutions. We also obtain a bifurcation-type result.", "revisions": [ { "version": "v1", "updated": "2019-12-20T02:28:40.000Z" } ], "analyses": { "keywords": [ "singular elliptic problem", "asymptotically linear nonlinearity", "positive solution", "asymtotically linear nonlinearity", "variational methods" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }