Monotonicity and symmetry of solutions to fractional $p$-laplacian equations
2020
We investigate the fractional p-Laplacian equation (−Δ)psu=f(x,u,∇u). We obtain the monotonicity and symmetry of positive solutions of the fractional p-Laplacian equation on bounded and unbounded domains. Specially, for unbounded case, we present a new decay at infinity.
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