The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
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Publication:640718
DOI10.1007/s00032-011-0143-xzbMath1229.35156OpenAlexW2009706802MaRDI QIDQ640718
Publication date: 19 October 2011
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-011-0143-x
Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15)
Related Items (21)
Optimality conditions of the first eigenvalue of a fourth order Steklov problem ⋮ On a Classical Spectral Optimization Problem in Linear Elasticity ⋮ Positivity for the clamped plate equation under high tension ⋮ On the biharmonic Steklov problem in weighted spaces ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ Conforming finite element approximations for a fourth-order Steklov eigenvalue problem ⋮ Minimization of the buckling load of a clamped plate with perimeter constraint ⋮ Bulk-boundary eigenvalues for bilaplacian problems ⋮ Nodal ground state solution to a biharmonic equation via dual method ⋮ Sharp bounds for the first eigenvalue of a fourth-order Steklov problem ⋮ The Steklov spectrum on moving domains ⋮ Spectral stability for a class of fourth order Steklov problems under domain perturbations ⋮ Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator ⋮ Minimization of inhomogeneous biharmonic eigenvalue problems ⋮ Analyticity and Criticality Results for the Eigenvalues of the Biharmonic Operator ⋮ On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: well-posedness, regularity theory and eigenvalue problems ⋮ A sharp isoperimetric inequality for the second eigenvalue of the Robin plate ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems ⋮ An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem ⋮ Existence of optimal shapes under a uniform ball condition for geometric functionals involving boundary value problems ⋮ The Bilaplacian with Robin Boundary Conditions
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