𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the lowest eigenvalue of the Laplacian for the intersection of two domains

✍ Scribed by Elliott H. Lieb

Publisher
Springer-Verlag
Year
1983
Tongue
English
Weight
401 KB
Volume
74
Category
Article
ISSN
0020-9910

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Eigenvalues of the Laplacian on an ellip
Eigenvalues of the Laplacian on an elliptic domain
✍ Yan Wu; P.N. Shivakumar πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 205 KB

The importance of eigenvalue problems concerning the Laplacian is well documented in classical and modern literature. Finding the eigenvalues for various geometries of the domains has posed many challenges which include infinite systems of algebraic equations, asymptotic methods, integral equations

Stability Results for the First Eigenval
Stability Results for the First Eigenvalue of the Laplacian on Domains in Space Forms
✍ AndrΓ©s I Ávila πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 125 KB

We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue of the Laplacian. The earliest work is due to A. Melas who proved the stability of the Faber-Krahn inequality: for a convex domain contained in n with Ξ» close to Ξ», the first eigenvalue of the ball B o