| Autor: |
Linyan Peng, Hongmin Suo, Deke Wu, Hongxi Feng, Chunyu Lei |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 90, Pp 1-15 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2021.1.90 |
| Popis: |
In this article, we devote ourselves to investigate the following logarithmic Schrödinger–Poisson systems with singular nonlinearity \begin{equation*} \begin{cases} -\Delta u+\phi u= |u|^{p-2}u\log|u|+\frac{\lambda}{u^\gamma}, &\rm \mathrm{in}\ \Omega, \\ -\Delta \phi=u^{2}, &\rm \mathrm{in}\ \Omega, \\ u=\phi=0, &\rm \mathrm{on}\ \partial\Omega, \end{cases} \end{equation*} where $\Omega$ $\subset$ $\mathbb{R}^3$ is a smooth bounded domain with boundary $\partial\Omega$, $00$ is a real parameter. By using the critical point theory for nonsmooth functional and variational method, the existence and multiplicity of positive solutions are established. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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