| Autor: |
Liang Xue, Jiafa Xu, Donal O'Regan |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 8, Iss 8, Pp 19566-19581 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2023998?viewType=HTML |
| Popis: |
In our current work we investigate the following critical quasilinear Schrödinger equation $ -\Delta \Theta+\mathcal V(x)\Theta-\Delta (\Theta^2)\Theta = |\Theta|^{22^*-2}\Theta+\lambda \mathcal K(x)g(\Theta), \ x \ \in \mathbb R^N, $ where $ N\geq 3 $, $ \lambda > 0 $, $ \mathcal V, \ \mathcal K\in C(\mathbb R^N, \mathbb R^+) $ and $ g\in C(\mathbb R, \mathbb R) $ has a quasicritical growth condition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when $ \lambda $ is a large parameter. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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