双非线性分数 p-Laplacian 方程的存在性

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI:10.1007/s10231-024-01453-z

Nobuyuki Kato, Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura

引用次数: 0

摘要

我们证明了双非线性抛物线分数 p-Laplacian 方程的全局时间弱解的存在性，该方程具有一般的双非线性，不仅包括 Sobolev 次临界/临界/超临界情况，还包括慢扩散/同源扩散/快扩散情况。我们的证明利用了双非线性分数 p-Laplace 算子的弱收敛方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Existence for doubly nonlinear fractional p-Laplacian equations$

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Existence for doubly nonlinear fractional p-Laplacian equations

We prove the existence of a global-in-time weak solution to a doubly nonlinear parabolic fractional p-Laplacian equation, which has general double nonlinearity including not only the Sobolev subcritical/critical/supercritical cases but also the slow/homogenous/fast diffusion ones. Our proof exploits the weak convergence method for the doubly nonlinear fractional p-Laplace operator.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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