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Fractional p-Laplacian problems with negative powers in a ball or an exterior domain

Authors: 

Phuong Le, Vu Ho

Source title: 
Journal of Pseudo-Differential Operators and Applications, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

This paper is concerned with the qualitative properties of positive solutions to fractional p-Laplacian problems

a

in h, where 0 < s < 1, p ≥ 2, > 0, α ≥ 0 and B1 is the unit ball centered at the origin. By deriving a decay at infinity principle and exploiting the direct method of moving planes for the fractional p-Laplacian, we prove the symmetry or monotonicity of positive solutions to the above problems.