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- W4320514583 abstract "We consider the nonhomogeneous quasilinear Schrödinger--Poisson system begin{align*} begin{cases} -Delta_{p} u+|u|^{p-2}u+lambdaphi |u|^{p-2}u=|u|^{q-2}u+h(x) & mathrm{in} mathbb{R}^{3}, -Delta phi=|u|^{p} & mathrm{in} mathbb{R}^{3}, end{cases} end{align*} where 1< <i>p</i><3, <i>p</i>< <i>q</i>< <i>p</i><sup>∗</sup>=3p/3−p, ∆<sub>p</sub>u = div(|▽u|<sup>p−2</sup>▽u), λ > 0 and h≠ 0. Under suitable assumptions on <i>h</i>, the Ekeland's variational principle and the mountain pass theorem are applied to establish the existence of multiple solutions for this system. To the best of our knowledge, this paper is one of the first contributions to the study of the nonhomogeneous quasilinear Schrödinger--Poisson system." @default.
- W4320514583 created "2023-02-14" @default.
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- W4320514583 date "2023-01-01" @default.
- W4320514583 modified "2023-09-27" @default.
- W4320514583 title "MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS QUASILINEAR SCHRÖDINGER–POISSON SYSTEM" @default.
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- W4320514583 doi "https://doi.org/10.11948/20220404" @default.
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