The Classification of all weak solutions to $-Δu={u^{-γ}}$ in the half-space

Luigi Montoro; Luigi Muglia; Berardino Sciunzi

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arXiv · 2404.03343

The Classification of all weak solutions to $-Δu={u^{-γ}}$ in the half-space

Luigi Montoro·Luigi Muglia·Berardino Sciunzi

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Abstract

We provide the classification of all the positive solutions to $-Δu=\frac{1}{u^γ}$ in the half space, under minimal assumption.

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Luigi Montoro, Luigi Muglia, Berardino Sciunzi. 2025-05-14. The Classification of all weak solutions to $-Δu={u^{-γ}}$ in the half-space. https://arxiv.org/abs/2404.03343

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