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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-06-01
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Series: | Mathematics in Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.202304210.3934/mbe.2022310 |