In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.

• 给出了相应的拟线性方程的定解问题的集中列紧引理,利用这一结果得到了方程在无界区域中非平凡解的存在性。