Extremal domains for the first eigenvalue of the Laplace-Beltrami operator

By Frank Pacard, P. Sicbaldi. 2009

51 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/38b724f80fc1a76feaef38af21d228fe19c37a12

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. F. Schlenk
2. P. Sicbaldi
3. A. Ros
4. Frank Pacard
5. Jun-cheng Wei
6. Manuel del Pino
7. Michael Hutchings

In Computational Theory and Mathematics

1. F. Schlenk
2. P. Sicbaldi
3. A. Ros
4. Frank Pacard
5. Jun-cheng Wei
6. Manuel del Pino

In Mathematical Physics

1. F. Schlenk
2. P. Sicbaldi
3. Michael Usher
4. A. Ros
5. Michael Hutchings
6. Frank Pacard

Citations in the corpus

• New extremal domains for the first eigenvalue of the Laplacian in flat tori (2010, background): “Our aim, following the caracterization of extremal domains given in [9], is to show that there exists a T > 0 and a nonconstant function v : Sn−1 × R/TZ −→ R of mean 0 such that the over-determined problem”
• BIFURCATING EXTREMAL DOMAINS FOR THE FIRST EIGENVALUE OF THE LAPLACIAN (2011, background): “has a positive solution (here ν is the outward unit normal vector to ∂Ω with respect to g), see [7] and [16].”