关于p－拉普拉斯方程径向解的一点注记

A NOTE ON THE EXISTENCE FOR RADIAL SOLUTION OF THE p-LAPLACIAN EQUATION

本文研究方程ｄｉｖ（｜ｕ｜ｐ－２ｕ）＋｜ｘ｜ｌ｜ｕ｜τ－１ｕ＝０，ｘ∈Ｂ的Ｄｉｒｉｃｈｌｅｔ边值问题ｕ｜Ｂ＝０的径向解。应用山路引理，我们将文［１］的结果（ｐ＝２时）推广到一般情形，证明上述问题有一非平凡的径向解。

In this note, we study the existence for radial solution of a quasilinear equation div in B with the boundary condition.Applying the Mountain Pass Lemma,we extend the result of [1] to p-Laplacian case and prove that there is a nontrivial radial solution for the above problem.