Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-16 DOI:10.3233/asy-231873

Mohamed Jleli, Bessem Samet, Calogero Vetro

引用次数: 0

Abstract

We consider a higher order (in time) evolution inequality posed in the half ball, under Dirichlet type boundary conditions. The involved elliptic operator is the sum of a Laplace differential operator and a Leray–Hardy potential with a singularity located at the boundary. Using a unified approach, we establish a sharp nonexistence result for the evolution inequalities and hence for the corresponding elliptic inequalities. We also investigate the influence of a nonlinear memory term on the existence of solutions to the Dirichlet problem, without imposing any restrictions on the sign of solutions.

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边界上包含Leray-Hardy势奇异的高阶演化不等式

在Dirichlet型边界条件下，考虑半球上的一个高阶(时间)演化不等式。所涉及的椭圆算子是拉普拉斯微分算子和边界处有奇点的Leray-Hardy势的和。利用统一的方法，我们建立了演化不等式的尖锐不存在性结果，并由此建立了相应的椭圆不等式的尖锐不存在性结果。我们还研究了非线性记忆项对Dirichlet问题解的存在性的影响，而不对解的符号施加任何限制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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