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arXiv · 2001.04299

Study of the existence of supersolutions for nonlocal equations with gradient terms

Begoña Barrios·Leandro M. Del Pezzo
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Abstract

We study the existence of positive supersolutions of nonlocal equations $(-Δ)^s u+ |\nabla u|^q=λf(u)$ in exterior domains where the datum $f$ can be comparade with $u^{p}$ near the origin. We prove that the existence or bounded supersolutions its depend of the values of $p$, $q$ and $s$.

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Begoña Barrios, Leandro M. Del Pezzo. 2020-05-19. Study of the existence of supersolutions for nonlocal equations with gradient terms. https://doi.org/10.1007/s00032-020-00314-7

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