Optimization of Neumann eigenvalues under convexity and geometric constraints

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

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New development in freefem++
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Optimal bounds for Neumann eigenvalues in terms of the diameter

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