Sharp Poincaré inequalities in a class of non-convex sets

DOI10.4171/JST/236zbMath1407.35075arXiv1608.01236OpenAlexW2962917281MaRDI QIDQ1624171

Barbara Brandolini, Emily B. Dryden, Jeffrey J. Langford, Francesco Chiacchio

Publication date: 15 November 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01236

zbMATH Keywords

lower boundsNeumann eigenvaluesnon-convex domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (8)

The spectral estimates for the Neumann-Laplace operator in space domains ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ On variations of the Neumann eigenvalues of \(p\)-Laplacian generated by measure preserving quasiconformal mappings

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