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Eigenvalues of the fractional Laplace operator in the interval
Eigenvalues fractional Laplace operator interval
2011/1/18
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (−) /2 ( ∈ (0, 2)) in the interval (−1, 1) is given: the n-th eigenvalue is equal to ...
ASYMPTOTIC OF EIGENVALUES OF THE $p$-LAPLACE OPERATOR AND LATTICE POINTS
$p$-Laplacian eigenvalues lattice points
2007/12/12
In this work we study the spectral counting function for the $p$-Laplace operator in one dimension. We show the existence of a two-term Weyl-type asymptote. The method of proof is rather elementary, b...