The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms
In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in \Omega ,\quad u|_{\partial \Omega }=+\infty $...
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-08-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2013-0035 |