Schrodinger-Poisson system with steep potential well
Yongsheng Jiang, Huan-Song Zhou
TL;DR
This paper investigates the Schrödinger-Poisson system with a steep potential well, analyzing existence and properties of solutions under certain conditions in a three-dimensional setting.
Contribution
It introduces new analytical methods to study the Schrödinger-Poisson system with steep potential wells, extending previous results to more complex potential functions.
Findings
Existence of solutions under specific parameter regimes
Characterization of solution behavior in steep potential wells
Extension of known results to broader potential classes
Abstract
We study the following Schr\"odinger-Poisson system (P_\lambda)\{ll} -\Delta u + (1+\mu g(x))u+\lambda \phi (x) u =|u|^{p-1}u, x\in \mathbb{R}^3,
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