Baouendi-Grushin算子的变增长奇异双相系统

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-01-01 DOI:10.3934/DCDS.2021036

Anouar Bahrouni, Vicentiu D. Rădulescu

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引用次数: 5

摘要

本文研究了一类具有双相能量的奇异系统。其主要特点是关联欧拉方程由变系数Baouendi-Grushin算子驱动。这样，我们继续[6]中介绍的对整个欧几里得空间缺乏紧性情况的分析。在建立了相关紧性之后，我们建立了Baouendi-Grushin奇异系统解的存在性。

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Singular double-phase systems with variable growth for the Baouendi-Grushin operator

In this paper we study a class of singular systems with double-phase energy. The main feature is that the associated Euler equation is driven by the Baouendi-Grushin operator with variable coefficient. In such a way, we continue the analysis introduced in [ 6 ] to the case of lack of compactness corresponding to the whole Euclidean space. After establishing a related compactness property, we establish the existence of solutions for the Baouendi-Grushin singular system.

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Discrete & Continuous Dynamical Systems - S

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