Li, YuxiangXie, Chunhong2020-09-142020-09-142003-02-28Li, Y., & Xie, C. (2003). Blow-up for p-Laplacian parabolic equations. <i>Electronic Journal of Differential Equations, 2003</i>(20), pp. 1-12.1072-6691https://hdl.handle.net/10877/12611In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem ut = ∇(|∇u|p-2 ∇u) + λ|u|q-2u, in ΩT, where p > 1. In particular, for p > 2, q = p is the blow-up critical exponent and we show that the sharp blow-up condition involves the first eigenvalue of the problem -∇(|∇ψ|p-2 ∇ψ) = λ|ψ|p-2ψ, in Ω; ψ|∂Ω = 0.Text12 pages1 file (.pdf)enAttribution 4.0 Internationalp-Laplacian parabolic equationsBlow-upGlobal existenceFirst eigenvalueArticle