Neumann to Steklov eigenvalues: asymptotic and monotonicity results

DOI10.1017/S0308210516000214zbMath1372.35193arXiv1602.06078MaRDI QIDQ5267459

Pier Domenico Lamberti, Luigi Provenzano

Publication date: 13 June 2017

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06078

zbMATH Keywords

monotonicityeigenvaluesBessel functionsSteklov boundary conditionsdensity perturbation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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