Norimichi Hirano

Yokohama National University (Japan)

Multiple existence of solutions for a non-homogeneous elliptic problem on RN

Let N 3, 2* = 2N∕(N - 2) and p ∈ (2,2*). Our purpose in the paper is to consider the multiple existence of solutions of the problem

- Δu + u = |u|p- 2u + f,   u ∈ H1 (RN ),

where f ∈ L2(RN), f 0 and f0.