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arXiv · 2507.19913

Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations

Yawei Wei·Xiaodong Zhou
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Abstract

In this paper, we study Pohozaev identities for weak solutions of degenerate elliptic equations involving Grushin type p-sub-Laplacian under only $C^1$-regularity assumption. By using domain variations, we obtain the local Pohozaev identities of translating type and scaling type. As an application, a global Pohozaev identity of scaling type in $\mathbb{R}^{N+l}$ is also derived.

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Yawei Wei, Xiaodong Zhou. 2025-07-26. Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations. https://arxiv.org/abs/2507.19913

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