Existence and concentration of ground state solutions for a quasilinear Choquard equation with critical exponential growth in $\mathbb{R}^2$
sciencepaper_online(2024)
Abstract
Abstract: In this paper, we study the following perturbed quasilinear Choquard equation \begin{equation*} -\varepsilon^2\Delta u+V(x)u-\varepsilon^2\Delta (u^2)u=\varepsilon^{\mu-2}\big(\frac{1}{|x|^\mu}*F(u)\big)f(u),\quad x\in \ \mathbb{R}^2, \end{equation*} where $\varepsilon>0$ is a small parameter, $\frac{1}{|x|^\mu}$ with $0
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Key words
Quasilinear Choquard equation,Critical exponential growth,Trudinger–Moser inequality
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