We study quasilinear elliptic inequalities with nonlocal terms in R^N, precisely we deal with the Riesz potential of order beta belonging to (0, N). We obtain sharp conditions in terms of the parameters involved in the equation for which positive singular solutions exist. We further establish the asymptotic profile of singular solutions of a double inequality strictly related to the initial inequality.

Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms

Roberta Filippucci
;
2020

Abstract

We study quasilinear elliptic inequalities with nonlocal terms in R^N, precisely we deal with the Riesz potential of order beta belonging to (0, N). We obtain sharp conditions in terms of the parameters involved in the equation for which positive singular solutions exist. We further establish the asymptotic profile of singular solutions of a double inequality strictly related to the initial inequality.
2020
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1460374
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