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
β¦ LIBER β¦
Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian
β Scribed by Emmanuel Hebey; Nicolas Saintier
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 117 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Stability Results for the First Eigenval
β
AndrΓ©s I Γvila
π
Article
π
2002
π
Elsevier Science
π
English
β 125 KB
The effect of perturbations on the first
β
Ana-Maria Matei
π
Article
π
2002
π
Elsevier Science
π
English
β 53 KB
New extremal domains for the first eigen
β
Pieralberto Sicbaldi
π
Article
π
2009
π
Springer
π
English
β 219 KB
Isoperimetric bounds for the first eigen
β
Qiaoling Wang; Changyu Xia
π
Article
π
2009
π
Springer
π
English
β 120 KB
Stable bundles and the first eigenvalue
β
Claudio Arezzo; Alessandro Ghigi; Andrea Loi
π
Article
π
2007
π
Springer-Verlag
π
English
β 604 KB
Eigenvalues of the Laplacian on an ellip
β
Yan Wu; P.N. Shivakumar
π
Article
π
2008
π
Elsevier Science
π
English
β 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