Bifurcating extremal domains for the first eigenvalue of the Laplacian
β Scribed by Felix Schlenk; Pieralberto Sicbaldi
- Book ID
- 113421829
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 252 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove here bifurcation and existence results for a nonlinear elliptic system involving the p -Laplacian. We say that i is an eigenvalue of (E,) if there exists a nontrivial pair (u,v) E ( W i ' p ) 2 1991 Mathematics Subject Classification. 35; 35 G ; 35 J. Keywords and phrases. p -Laplacian, sy
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