Abstract
In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term.
Funding Statement
The first author is supported by Universidad de Buenos Aires grant TX48, by ANPCyT PICT No. 03-05009. The second author is supported by CONICET and Universidad de San Andres.
Citation
Julián Fernández Bonder. Juan Pablo Pinasco. "Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator." Ark. Mat. 41 (2) 267 - 280, October 2003. https://doi.org/10.1007/BF02390815
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