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The direct moving plane method for weak solutions of the fractional $p$-Laplacian

Xu, Meiqing et al.
arXiv (All) · Papers
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35j92analysis-of-pdes
In this paper, we develop the method of moving planes entirely in the weak formulation for the fractional $p$-Laplacian in the singular range $1<p\leq2$. We first establish a small region principle for antisymmetric functions and apply it to prove radial symmetry and monotonicity of nonnegative weak
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