Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space

Bao Yu; Yang Zhou

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arXiv · 2509.11283

Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space

Bao Yu·Yang Zhou

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Abstract

We use the method of vector fields to obtain a Liouville-type theorem for a class of quasilinear p-Laplace type equations with conormal boundary condition in the half space. These p-Laplace type equations are the subcritical case of the Euler-Lagrange equation of the Sobolev trace inequality in the half space.

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Bao Yu, Yang Zhou. 2025-09-14. Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space. https://arxiv.org/abs/2509.11283

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