On the moving plane method for nonlocal problems in bounded domains

Published 21 May 2014 in math.AP | (1405.5402v1)

Abstract: We consider a nonlocal problem involving the fractional laplacian and the Hardy potential, in bounded smooth domains. Exploiting the moving plane method and some weak and strong comparison principles, we deduce symmetry and monotonicity properties of positive solutions under zero Dirichlet boundary conditions.

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