{ "id": "1206.0787", "version": "v1", "published": "2012-06-04T22:59:34.000Z", "updated": "2012-06-04T22:59:34.000Z", "title": "Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian", "authors": [ "Sergey B. Kolonitskii" ], "categories": [ "math.AP" ], "abstract": "We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\\Delta_p u = u^{q-1}$ in expanding annuli.", "revisions": [ { "version": "v1", "updated": "2012-06-04T22:59:34.000Z" } ], "analyses": { "subjects": [ "35J92", "35J20" ], "keywords": [ "1d-concentrating positive solutions", "dirichlet problem", "multiplicity", "spike-layer type solutions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.0787K" } } }