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arXiv · 1407.5984

A uniqueness result for some singular semilinear elliptic equations

Annamaria Canino·Berardino Sciunzi
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Abstract

Given $Ω$ a bounded open subset of $\mathbb{R}^N$, we consider nonnegative solutions to the singular semilinear elliptic equation $-Δ\,u\,=\,\frac{f}{u^β}$ in $H^1_{loc}(Ω)$, under zero Dirichlet boundary conditions. For $β>0$ and $f\in L^1(Ω)$, we prove that the solution is unique.

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Annamaria Canino, Berardino Sciunzi. 2014-07-22. A uniqueness result for some singular semilinear elliptic equations. https://arxiv.org/abs/1407.5984

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