The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Symmetry breaking in the minimization of the first eigenvalue for the composite clamped punctured disk

Claudia AneddaFabrizio Cuccu — 2015

Applicationes Mathematicae

Let D₀=x∈ ℝ²: 0<|x|<1 be the unit punctured disk. We consider the first eigenvalue λ₁(ρ ) of the problem Δ² u =λ ρ u in D₀ with Dirichlet boundary condition, where ρ is an arbitrary function that takes only two given values 0 < α < β and is subject to the constraint D ρ d x = α γ + β ( | D | - γ ) for a fixed 0 < γ < |D₀|. We will be concerned with the minimization problem ρ ↦ λ₁(ρ). We show that, under suitable conditions on α, β and γ, the minimizer does not inherit the radial symmetry of the domain.

Page 1

Download Results (CSV)