超临界增长的拟线性方程的非平凡解的存在性

The Existence of the Nontrivial Solutions to a Class of Quasilinear Elliptic Equations Involving Supercritical Exponents

设（ｒ）≥０．（ｒ）＝０（ｒα）当ｒ→＋∞时；（ｒ）＝Ｏ（ｒｂ）当ｒ→０＋时，ｂ≥０，１＜ｐ＜Ｎ，ｍ（ｒ）≥ｍ０＞０，则ＲＮ中的拟线性方性－ｄｉｖ（｜Ｄｕ｜Ｐ－２Ｄｕ）＋ｍ（｜ｘ｜）·｜Ｕ｜在（ＲＮ）中至少存在两个非平凡经向解。

under the assumptions that (r)=O(rb)as r and*<bas,r ,and that it is proved that-div u has at least two nontrivial radial soltions in.