Krzysztof Bogdan, Tomasz Komorowski
Published 2013-09-25Version 1
We add a divergence-free drift with increasing magnitude to the fractional Laplacian on a bounded smooth domain, and discuss the behavior of the principal eigenvalue for the Dirichlet problem. The eigenvalue remains bounded if and only if the drift has non-trivial first integrals in the domain of the quadratic form of the fractional Laplacian.
Symmetry breaking for an elliptic equation involving the Fractional Laplacian
Fractional Laplacian on the torus
Uniqueness and Nondegeneracy of Ground States for $(-Δ)^s Q + Q - Q^{α+1} = 0$ in $\mathbb{R}$
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