{ "id": "1303.7268", "version": "v1", "published": "2013-03-28T22:50:53.000Z", "updated": "2013-03-28T22:50:53.000Z", "title": "Pohozaev-type inequalities and nonexistence results for non $C^2$ solutions of $p(x)$-laplacian equations", "authors": [ "Gabriel López Garza" ], "categories": [ "math.AP" ], "abstract": "In this paper a Pohozaev type inequality is stated for variable exponent Sobolev spaces in order to prove non existence of nontrivial weak solutions for a Dirichlet problem with non-standard growth. The obtained results generalize a previous work of M. \\^{O}tani.", "revisions": [ { "version": "v1", "updated": "2013-03-28T22:50:53.000Z" } ], "analyses": { "subjects": [ "35D05", "35J60", "58E05" ], "keywords": [ "nonexistence results", "laplacian equations", "pohozaev-type inequalities", "variable exponent sobolev spaces", "pohozaev type inequality" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.7268L" } } }