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Yuk, I.S.;Ryu, K.S.;Park, J.H.;Seon, K.I.;Nam, U.W.;Han, W.;Seon, J.;Min, K.W.;Korpela, E.J.;Edelstein, J.
- Bulletin of the Korean Space Science Society
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- 2000.10a
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- pp.76-76
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- 2000
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Seon Kwang-Il;Lee D.-H.;Park J.-H.;Kim I.-J.;Shinn J.-H.;Ryu K.-S.;Jin H.;Yuk I.-S.;Han W.;Nam U.-W.;Min K.-W;Edelstein J.;Korpela E.
- The Bulletin of The Korean Astronomical Society
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- v.29 no.2
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- pp.38.1-38.1
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- 2004
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Park J.-H.;Seon K-I.;Yuk I.-S.;Nam U.-W.;Han W.;Lee W.-B.;Min K-W.;Seon J.;Ryu K-S.;Edelstein J.;Korpela E. J
- The Bulletin of The Korean Astronomical Society
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- v.25 no.1
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- pp.38-38
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- 2000
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Seon Kwang-Il;Kim I. J.;Park J. H.;Shinn J. H.;Lee D. H.;Ryu K. S.;Han W.;Min K. W.;Jin H.;Yuk I. S.;Nam U. W.;Edelstein J.;Nishikida K.
- Bulletin of the Korean Space Science Society
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- 2004.10b
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- pp.49-49
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- 2004
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Che, Guofeng;Chen, Haibo
- Journal of the Korean Mathematical Society
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- v.57 no.6
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- pp.1551-1571
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- 2020
This paper is concerned with the following Kirchhoff-Schrödinger-Poisson system $$\begin{cases} -(a+b{\displaystyle\smashmargin{2}\int\nolimits_{\mathbb{R}^3}}{\mid}{\nabla}u{\mid}^2dx){\Delta}u+V(x)u+{\mu}{\phi}u={\lambda}f(x){\mid}u{\mid}^{p-2}u+g(x){\mid}u{\mid}^{p-2}u,&{\text{ in }}{\mathbb{R}}^3,\\-{\Delta}{\phi}={\mu}{\mid}u{\mid}^2,&{\text{ in }}{\mathbb{R}}^3, \end{cases}$$ where a > 0, b, µ ≥ 0, p ∈ (1, 2), q ∈ [4, 6) and λ > 0 is a parameter. Under some suitable assumptions on V (x), f(x) and g(x), we prove that the above system has at least two different nontrivial solutions via the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. Some recent results from the literature are improved and extended.
https://doi.org/10.4134/JKMS.j190833 인용 PDF KSCI