Convex shape optimization for the least biharmonic Steklov eigenvalue

DOI10.1051/cocv/2012014zbMath1263.35171OpenAlexW2076103932MaRDI QIDQ4920287

Gazzola, Filippo, Pedro R. S. Antunes

Publication date: 16 May 2013

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2012014

zbMATH Keywords

shape optimizationbiharmonic operatorleast Steklov eigenvaluenumerical method of fundamental solutions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (9)

Optimality conditions of the first eigenvalue of a fourth order Steklov problem ⋮ On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate ⋮ Tuning the total displacement of membranes ⋮ Minimization of the buckling load of a clamped plate with perimeter constraint ⋮ Sharp bounds for the first eigenvalue of a fourth-order Steklov problem ⋮ Spectral stability for a class of fourth order Steklov problems under domain perturbations ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ Minimization of inhomogeneous biharmonic eigenvalue problems ⋮ Analyticity and Criticality Results for the Eigenvalues of the Biharmonic Operator

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