Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains

Reshmi Biswas; Alexander Quaas

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arXiv · 2412.06746

Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains

Reshmi Biswas·Alexander Quaas

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Abstract

This article is concerned with the nonexistence of positive solutions for nonlinear fractional elliptic inequalities in exterior domains of $\mathbb R^n$, $n\geq1$. We would like to highlight the fact that our results are new with very weak assumption on the nonlinear term appearing in the inequalities. The results are also novel in this generality even if the whole space is considered.

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Reshmi Biswas, Alexander Quaas. 2024-12-09. Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains. https://arxiv.org/abs/2412.06746

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