We consider a class of quasilinear elliptic eigenvalue problem with critical exponent. We have proved the existence of nontrivial solution to this problem under natural growth conditions.

• 摘要考虑了一类具有临界指数的拟线性椭圆型方程的特徵值问题。在自然增长条件下，证明瞭该特徵值问题解的存在性定理。