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Abstract

This paper is concerned with boundary blow-up elliptic problems $△ u = b (x) f (u)$ , $x \in Ω$ , $u |_{\partial Ω} = + \infty$ , where Ω is a bounded domain with smooth boundary in $R^{N}$ , and $b \in C_{loc}^{α} (Ω)$ for some $α \in (0, 1)$ which is nonnegative nontrivial in Ω, but may be vanishing or appropriate singular (including critical singular) on $\partial Ω$ . Under a new structure condition on f near infinity, we study the exact boundary behavior of such solutions.

Keywords

semilinear elliptic equations boundary blow-up the first expansions of solutions near the boundary

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Boundary behavior of large solutions for semilinear elliptic equations with weights

Abstract

Keywords

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