Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958750 | Computers & Mathematics with Applications | 2016 | 9 Pages |
Abstract
This paper deals with homogeneous Dirichlet boundary value problem to a class of m-Laplace equations with variable reaction âuâtâdiv(|âu|mâ2âu)=uq(x),xâΩ,t>0, the bounded domain ΩâRN(Nâ¥1) with a smooth boundary. We prove that the weak solutions of the above problems blow up in finite time for all qâ>mâ1(mâ¥2), when the initial energy is positive and initial data is suitably large. This result improves the recent result by Zhou and Yang (2015), which asserts the blow-up of solutions for N>m, provided that q+
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xiulan Wu,