Mathematics – Analysis of PDEs
Scientific paper
2011-03-17
Mathematics
Analysis of PDEs
18 pages, added Proposition 2 and references, some minor corrections
Scientific paper
We calculate the fractional Laplacian for functions of the form
$u(x)=(1-|x|^2)_+^p$ and $v(x)=x_d u(x)$. As an application, we estimate the
first eigenvalues of the fractional Laplacian in a ball.
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