具有Sobolev临界指数的拟线性椭圆型方程的非线性边值问题

Nonlinear Boundary Problem of Quasilinear Elliptic Equations Involving Critical Sobolev Exponents

本文利用集中紧原理讨论一类具有Sobolevlta界指数的拟线性椭圆型方程的非线性边值问题非平凡解的存在性。

In this paper, we deal with the existence of nontrivial solutions to the nonlinear boundary problem of a class of quasilinear elliptic equation involving critical sobolev exponents. Keywods:critical exponent; quasilinear; elliptic equation; boundary problem; concentration-compactness priciple.