Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains
DOI10.1515/acv-2022-0019arXiv2109.10669OpenAlexW3201270671MaRDI QIDQ6130551
Michel Pierre, Arian Novruzi, Jimmy Lamboley
Publication date: 3 April 2024
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.10669
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Optimization of shapes other than minimal surfaces (49Q10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Free boundary problems for PDEs (35R35)
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