Existence of optimal densities is proven for extremal weighted Steklov eigenvalues, with minimizers characterized as bang-bang functions possibly with disconnected support, and a Fréchet-differentiable surrogate plus numerical algorithm is introduced for computation on general domains.
Krein.On Certain Problems on the Maximum and Minimum of Characteristic Values and on the Lyapunov Zones of Stability
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Extremal Eigenvalues of Weighted Steklov Problems
Existence of optimal densities is proven for extremal weighted Steklov eigenvalues, with minimizers characterized as bang-bang functions possibly with disconnected support, and a Fréchet-differentiable surrogate plus numerical algorithm is introduced for computation on general domains.