Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations

摘要

In this paper, we deal with the sublinear elliptic equation: -Δu+V(x)u+a(x)|u|psgn(u)=f on RN,N>2,0<1. Under suitable assumptions on the terms V and a, we prove some existence, uniqueness and multiplicity results. Continuity of solutions in the perturbation parameter f at 0 is also studied. Our main tools are the concentration-compactness principle and mountain-pass theorem.