Optimization of some eigenvalue problems with large drift

DOI10.1080/03605302.2018.1477801zbMath1410.35087arXiv1710.04920OpenAlexW2761633974WikidataQ60498119 ScholiaQ60498119MaRDI QIDQ4622895

François Hamel, Luca Rossi, Emmanuel Russ

Publication date: 18 February 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04920

zbMATH Keywords

asymptotic behaviourprincipal eigenfunctionLaplacian with driftlinear elliptic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Variational methods for eigenvalues of operators (49R05)

Cites Work

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• Rearrangement inequalities and applications to isoperimetric problems for eigenvalues
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift
• User’s guide to viscosity solutions of second order partial differential equations
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

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