Singular solutions of a nonlinear elliptic equation in a punctured domain
| Autor: | Imed Bachar, Habib Maagli, Vicenţiu Rădulescu |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 94, Pp 1-19 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1417-3875 91815843 |
| DOI: | 10.14232/ejqtde.2017.1.94 |
| Popis: | We consider the following semilinear problem \begin{equation*} \begin{cases} -\Delta u(x)=a(x)u^{\sigma }(x),\text{ }x\in \Omega \backslash \{0\}\text{ (in the distributional sense),} \\ u>0,\text{ in }\Omega \backslash \{0\},\\ \underset{\left\vert x\right\vert \rightarrow 0}{\lim }\left\vert x\right\vert ^{n-2}u(x)=0, \\ u(x)=0,\text{ }x\in \partial \Omega , \end{cases}% \end{equation*} where $\sigma |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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