Solution manifolds for some semilinear Schrodinger equations

In this paper, we study the following semilinear Schrödinger system $-\triangle u+u=(1+K_α(εx))|u|^{p-2}u\ in \mathbb{R}^N, u\in H^1(\mathbb{R}^N)$ where $3\leq p<2^*$ and $ε>0$, $α>0$ are small parameters. Under some conditions on $K_α$ and the parameters $α$ and $ε$, we show that this equation exist solution manifolds.

No reviews yet.

No comments yet.