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The exact blow-up rate of large solutions to infinity-Laplacian equation
Ling Mi
Keywords:Infinity-Laplacian equation; blow-up solutions; asymptotic behavior;
Abstract:
      Under new conditions on weight functions $b(x)$, this paper mainly considers the exact boundary behavior of solutions to the following boundary blow-up elliptic problems $\triangle_{\infty} u =b(x)f(u), \ x\in \Omega,\ u|_{\partial \Omega}=+\infty$ for more general nonlinearities $f,$ where $\Omega$ is a bounded domain with smooth boundary in $\mathbb R^N$, and $b \in C^{\xa}(\bar{\Omega})$ which is positive in $\Omega$ and may be vanishing on the boundary.