具有奇异势的双非线性退化抛物方程

Pub Date : 2022-06-01 DOI:10.4208/jpde.v35.n4.1

Junqiang Han

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引用次数: 0

摘要

．本文的目的是研究以下双非线性退化抛物方程的正解的不存在性:其中Ω是由Greiner向量场生成的r2n + 1中的Carnot-Carath ' eodory公制球，V∈l1loc (Ω)， k∈n, m∈R, 1 < p < 2n + 2k, m + p−2 > 0。找到了m + p的较好的下界p∗，并证明了p∗6 m + p < 3时的不存在性结果。

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Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields

. The purpose of this paper is to investigate the nonexistence of positive solutions of the following doubly nonlinear degenerate parabolic equations: where Ω is a Carnot-Carath´eodory metric ball in R 2 n + 1 generated by Greiner vector ﬁelds, V ∈ L 1 loc ( Ω ) , k ∈ N , m ∈ R , 1 < p < 2 n + 2 k and m + p − 2 > 0. The better lower bound p ∗ for m + p is found and the nonexistence results are proved for p ∗ 6 m + p < 3.

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