Kömbe, İsmail2020-11-212020-11-2120131078-0947https://doi.org/10.3934/dcds.2013.33.5167https://hdl.handle.net/11467/3682The purpose of this paper is to study the nonexistence of positive solutions of the doubly nonlinear equation -u t = r (um-1jrujp-2ru) + V um+p-2 in (0; T); u(x; 0) = u0(x) 0 in ; u(x; t) = 0 on (0; T); where r = (rx; jxj2ry), x 2 Rd; y 2 Rk, > 0, is a metric ball in RN, V 2 L1 loc(), m 2 R, 1 < p < d + k and m + p - 2 > 0. The exponents q are found and the nonexistence results are proved for q m + p < 3.eninfo:eu-repo/semantics/closedAccessBaouendi-Grushin vector fieldsHardy inequalityNonlinear parabolic equationsPositive solutionsArticle3311.Dec51675176Q1WOS:000318966900019Q12-s2.0-8487940319910.3934/dcds.2013.33.5167