Some isoperimetric problems for the principal eigenvalues of second-order elliptic operators in divergence form

DOI10.1016/j.crma.2006.11.025zbMath1121.35090OpenAlexW2080024808MaRDI QIDQ868966

Nikolai S. Nadirashvili, Emmanuel Russ, François Hamel

Publication date: 26 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.025

zbMATH Keywords

optimizationsymmetrizationrearrangementprincipal eigenvalueLaplaciansecond-order elliptic operators in divergence form with Dirichlet boundary condition

Mathematics Subject Classification ID

Cites Work

• Rearrangement inequalities and applications to isoperimetric problems for eigenvalues
• Comparison results for solutions of elliptic problems via symmetrization
• An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
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