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- W2017885798 abstract "In this paper, we deal with the extinction of solutions of the initial–boundary value problem of the p-Laplacian equation ut=div(|∇u|p−2∇u)+λuq in a bounded domain of RN with N≥2. For 1<p<2, we show that q=p−1 is the critical exponent of extinction for the weak solution. Furthermore, for 1<p<2 and q=p−1 we prove that the extinction and non-extinction of the solution depends strongly on the first eigenvalue of the problem −div(|∇ϕ|p−2∇ϕ)=λ|ϕ|p−2ϕ,in Ω;ϕ|∂Ω=0." @default.
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- W2017885798 title "Extinction and non-extinction for a p-Laplacian equation with nonlinear source" @default.
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- W2017885798 doi "https://doi.org/10.1016/j.na.2007.08.021" @default.
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