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- W4226194766 abstract "In this paper, we study the following logarithmic Schrödinger-Poisson system{−ε2Δu+V(x)u−ϕu=ulogu2,inR3,−ε2Δϕ=u2,inR3, where ε is a small positive parameter and V(x)∈C(R3,R). Under the local condition on potential V(x), we prove the existence of positive solution uε∈H1(R3) of above system for ε>0 small enough by combining the variational method with a penalization scheme. Moreover, we also investigate the concentration behavior of {uε} as ε→0." @default.
- W4226194766 created "2022-05-05" @default.
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- W4226194766 date "2022-09-01" @default.
- W4226194766 modified "2023-09-27" @default.
- W4226194766 title "Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system via penalization method" @default.
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- W4226194766 doi "https://doi.org/10.1016/j.jmaa.2022.126249" @default.
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