Two functionals connected to the Laplacian in a class of doubly connected domains on rank one symmetric spaces of non-compact type

DOI10.1007/s10711-012-9800-7zbMath1288.35213OpenAlexW2017529247MaRDI QIDQ387584

Anisa M. H. Chorwadwala, Murali Krishna Vemuri

Publication date: 23 December 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-012-9800-7

zbMATH Keywords

eigenvalue problemshape optimization problemDirichlet boundary value problemrank-one symmetric spaces of non-compact type

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Variational methods for eigenvalues of operators (49R05)

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Cites Work

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• Symmetry and related properties via the maximum principle
• Harmonic analysis on solvable extensions of H-type groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• On two functionals connected to the Laplacian in a class of doubly connected domains in space-forms
• \(H\)-type groups and Iwasawa decompositions
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Inequalities for the minimal eigenvalue of the laplacian in an annulus
• On two functionals connected to the Laplacian in a class of doubly connected domains
• On the method of moving planes and the sliding method