{ "id": "1512.08483", "version": "v1", "published": "2015-12-28T19:09:02.000Z", "updated": "2015-12-28T19:09:02.000Z", "title": "On Korn's First Inequality for Mixed Tangential and Normal Boundary Conditions on Bounded Lipschitz-Domains in $\\mathbb{R}^N$", "authors": [ "Sebastian Bauer", "Dirk Pauly" ], "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We prove that for bounded Lipschitz domains in $\\mathbb{R}^N$ Korn's first inequality holds for vector fields satisfying homogeneous mixed normal and tangential boundary conditions.", "revisions": [ { "version": "v1", "updated": "2015-12-28T19:09:02.000Z" } ], "analyses": { "subjects": [ "49J40", "82C40", "76P05" ], "keywords": [ "normal boundary conditions", "mixed tangential", "bounded lipschitz-domains", "satisfying homogeneous mixed normal", "korns first inequality holds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151208483B" } } }