Fractional KPZ equations with fractional gradient term and Hardy potential

In this work we address the question of existence and non existence of positive solutions to a class of fractional problems with non local gradient term. More precisely, we consider the problem $ \left\{ \begin{array}{rcll} (-\Delta )^s u & = &\lambda \dfrac{u}{|x|^{2s}}+ (\mathfr...

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Bibliographic Details
Main Authors: Boumediene Abdellaoui, Kheireddine Biroud, Ana Primo, Fernando Soria, Abdelbadie Younes
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.202304210.3934/mbe.2022310