{ "id": "2010.04409", "version": "v1", "published": "2020-10-09T07:37:56.000Z", "updated": "2020-10-09T07:37:56.000Z", "title": "Symmetry and monotonicity of singular solutions of double phase problems", "authors": [ "Stefano Biagi", "Francesco Esposito", "Eugenio Vecchi" ], "categories": [ "math.AP" ], "abstract": "We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, we prove symmetry and monotonicity properties of such solutions.", "revisions": [ { "version": "v1", "updated": "2020-10-09T07:37:56.000Z" } ], "analyses": { "subjects": [ "35B06", "35J75", "35J62", "35B51" ], "keywords": [ "double phase problems", "positive singular solutions", "double phase functionals", "moving plane method", "monotonicity properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }