IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Study of the Existence of Supersolutions for Nonlocal Equations with Gradient Terms
Autor/es:
DEL PEZZO, LEANDRO M.; BARRIOS, BEGOÑA
Revista:
MILAN JOURNAL OF MATHEMATICS
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2020 vol. 88 p. 267 - 294
ISSN:
1424-9286
Resumen:
We study the existence of positive supersolutions of nonlocal equations of type $(-\Delta)^s u+ |\nabla u|^q=\lambda f(u)$ posed in exterior domains where the datum $f$ can be comparable with $u^{p}$ near the origin. We prove that the existence of bounded supersolutions depends on the values of $p$, $q$ and $s$.
