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arXiv · 2311.13418

Liouville theorem for quasilinear elliptic equations in $\mathbb R^N$

Wangzhe Wu·Qiqi Zhang
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Abstract

We prove Liouville theorem for the equation $Δ_m v + v^p + M |\nabla v|^{q}= 0$ in a domain $Ω\subset\mathbb R^n$, with $M\in \mathbb{R}$ in the critical and subcritical case. As a natural extension of our recent work \cite{MWZ}, the proof is based on an integral identity and Young's inequality.

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Wangzhe Wu, Qiqi Zhang. 2023-11-22. Liouville theorem for quasilinear elliptic equations in $\mathbb R^N$. https://arxiv.org/abs/2311.13418

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