{ "id": "1706.05953", "version": "v1", "published": "2017-06-15T22:00:44.000Z", "updated": "2017-06-15T22:00:44.000Z", "title": "Four conjectures in Nonlinear Analysis", "authors": [ "Biagio Ricceri" ], "comment": "arXiv admin note: text overlap with arXiv:1504.01010, arXiv:1409.5919, arXiv:1612.08191", "categories": [ "math.AP" ], "abstract": "In this chapter, I formulate four challenging conjectures in Nonlinear Analysis. More precisely: a conjecture on the Monge-Amp\\`ere equation; a conjecture on an eigenvalue problem; a conjecture on a non-local problem; a conjecture on disconnectedness versus infinitely many solutions.", "revisions": [ { "version": "v1", "updated": "2017-06-15T22:00:44.000Z" } ], "analyses": { "keywords": [ "nonlinear analysis", "eigenvalue problem", "non-local problem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }