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We use the integral by parts to get a Liouville type theorem for a classquasilinear $p$-Laplace type equation on the sphere, this $p$-Laplace typeequation arises from the study of asymptotic behavior near the origin for thesemi-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.

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