| Abstract: |
| We consider boundary blowup problem for $k$-Hessian equation of the form $F_k[u] = f(x)g(u)$ in a strictly $(k-1)$-convex domain $\Omega \subset \mathbb{R}^n$, where $f(x)$ behaves like $\text{dist}(x,\partial\Omega)^{\alpha}$ as $\text{dist}(x,\partial\Omega) \to 0$ and $g(u)$ behaves like $u^p$ as $u \to \infty$. We establish the precise blowup rate of a solution near the boundary $\partial \Omega$. |
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