Positive solutions of semilinear problems in an exterior domain of R2 $\mathbb{R}^{2}$
Abstract The aim of this paper is to establish the existence and global asymptotic behavior of a positive continuous solution for the following semilinear problem: {−Δu(x)=a(x)uσ(x),x∈D,u>0,in D,u(x)=0,x∈∂D,lim|x|→∞u(x)ln|x|=0, $$ \textstyle\begin{cases} -\Delta u(x)=a(x)u^{\sigma }(x), \quad x\in D...
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| Principais autores: | , , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
SpringerOpen
2019-04-01
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| Serier: | Boundary Value Problems |
| Fag: | |
| Online adgang: | http://link.springer.com/article/10.1186/s13661-019-1178-0 |
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