| Autor: |
Shuibo Huang, Tong Su, Xinsheng Du, Xinqiu Zhang |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2019, Iss 97,, Pp 1-22 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
Let $\Omega\subseteq \mathbb{R}^N$ be a bounded domain. In this article, we investigate the existence of entropy solutions to the nonlinear elliptic problem $$\displaylines{ -\hbox{div}\Big(\frac{|\nabla u|^{(p-2)} \nabla u+c(x)u^\gamma}{(1+|u|)^{\theta(p-1)}}\big) +\frac{b(x)|\nabla u|^\lambda}{(1+|u|)^{\theta(p-1)}}=\mu,\quad x\in\Omega, \cr u(x)=0,\quad x\in \partial\Omega, }$$ where $\mu$ is a diffuse measure with bounded variation on $\Omega$, $0\leq\theta |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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