Existence and concentration behavior of solutions for the logarithmic Schrödinger–Poisson system with steep potential

X Peng, G Jia - Zeitschrift für angewandte Mathematik und Physik, 2023 - Springer
In this paper, we study the following logarithmic Schrödinger–Poisson system:-Δ u+ λ V (x)
u+ q (x) ϕ u= u log u 2, in R 3,-Δ ϕ= q (x) u 2, in R 3, where λ> 0, V (x)∈ C (R 3, R) and q …