一个双调和波不等式系统的存在性和不存在性准则

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2023-07-04 DOI:10.1142/s0219530523500124

M. Jleli, B. Samet

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引用次数: 0

摘要

我们考虑一个在[公式：见正文]的外部域中提出的非线性双调和波不等式系统。研究了三种类型的边界条件。对于每种情况，都研究了弱解的存在性和不存在性。我们的研究得到了相应的平稳系统和方程的自然存在性和不存在性的结果。提供了许多新的结果，并提出了一些悬而未决的问题。

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Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN

We consider a system of nonlinear biharmonic wave inequalities posed in an exterior domain of [Formula: see text]. Three types of boundary conditions are investigated. For each case, the existence and nonexistence of weak solutions are studied. Our study yields naturally existence and nonexistence results for the corresponding stationary system and equation. Many new results are provided and some open questions are proposed.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464