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# Symmetry of solutions for a fractional p-Laplacian equation of Choquard type

Authors:

Phuong Le

Source title:
International Journal of Mathematics, 2050026, 14 pages, 2020 (ISI)
Academic year of acceptance:
2019-2020
Abstract:

Let  and $u$ be a positive solution of the equation

We prove that if u satisfies some decay assumption at infinity, then u must be radially symmetric and monotone decreasing about some point in . Instead of using equivalent fractional systems, we exploit a generalized direct method of moving planes for fractional p-Laplacian equations with nonlocal nonlinearities. This new approach enables us to cover the full range 0<α<n in our results.