On two functionals connected to the Laplacian in a class of doubly connected domains in space-forms

DOI10.1007/BF02829842zbMath1074.58015arXivmath/0503097MaRDI QIDQ1770023

A. R. Aithal, M. H. C. Anisa

Publication date: 5 April 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503097

zbMATH Keywords

maximum principleeigenvalue problemLaplacian

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

Placement of an Obstacle for Optimizing the Fundamental Eigenvalue of Divergence Form Elliptic Operators ⋮ Two functionals connected to the Laplacian in a class of doubly connected domains on rank one symmetric spaces of non-compact type ⋮ On eigenvalue problems related to the Laplacian in a class of doubly connected domains ⋮ On the extrema of Dirichlet's first eigenvalue of a family of punctured regular polygons in two dimensional space forms ⋮ How to place an obstacle having a dihedral symmetry inside a disk so as to optimize the fundamental Dirichlet eigenvalue ⋮ Theoretical developments in the study of partial differential equations ⋮ The first Dirichlet eigenvalue of the Laplacian in a class of doubly connected domains in complex projective space ⋮ Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue ⋮ On the first Steklov-Dirichlet eigenvalue for eccentric annuli

Cites Work

• On two functionals connected to the Laplacian in a class of doubly connected domains
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