Study of Quasilinear Elliptic Equation in R~M

摘要

In this paper, we deal with the quasilinear elliptic equation : -div((l + /(u))Vu) + u+1/2f(-u)|Vu|~2 =a(x)∣u∣~(p-1)u + h on R~N, N > 2. Under suitable assumptions on the terms /, a and h, we prove the existence of at least two solutions. Our main tools are the concentration-compactness principle and mountain-pass theorem.