The equilateral triangle uniquely minimizes the scale-invariant functional of the first Dirichlet eigenvalue, area, and perimeter, settling the Laugesen-Siudeja conjecture and yielding an optimal two-term lower bound.
Dirichlet eigenvalues of asymptotically flat triangles.Asymptotic Analysis, 92(3-4):279–312
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sharp Dirichlet eigenvalue inequalities on triangles
The equilateral triangle uniquely minimizes the scale-invariant functional of the first Dirichlet eigenvalue, area, and perimeter, settling the Laugesen-Siudeja conjecture and yielding an optimal two-term lower bound.