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arXiv · 2211.03532

Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere

Daowen Lin·Xi-Nan Ma
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Abstract

We use the integral by parts to get a Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere, this $p$-Laplace type equation arises from the study of asymptotic behavior near the origin for the semi-linear $p$-Laplace equation on the puncture ball $B_1(o) \subset R^n$. This gives a positive answer to L. V\'{e}ron's question in a paper \cite{Veron92} and his book \cite{Veron} at page 440.

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Daowen Lin, Xi-Nan Ma. 2022-11-07. Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere. https://arxiv.org/abs/2211.03532

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