Abstract
We study existence and concentration of positive solutions for systems of the form $-\epsilon^2\Delta u + V(x)u = \nabla F(u)$ in $\mathbb{R}^N$ where $\epsilon \gt 0$ is a small parameter, $F : [0,\infty)^k \rightarrow \mathbb{R}$ is a $C_{loc}^{1,\alpha}$ function, $N \geq 3, k \geq 1$, and the potential $V$ has a positive infimum and a well.
Citation
Elisandra Gloss. "Standing waves for a system of nonlinear Schrödinger equations in $\mathbb{R}^N$." Differential Integral Equations 24 (3/4) 281 - 306, March/April 2011. https://doi.org/10.57262/die/1411664733
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