Optimality conditions of the first eigenvalue of a fourth order Steklov problem

DOI10.3934/cpaa.2017089zbMath1364.49026OpenAlexW2619588161MaRDI QIDQ2357761

Monika Laskawy

Publication date: 14 June 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017089

zbMATH Keywords

shape optimizationfirst Steklov eigenvaluedomains of given measure and perimeter

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for higher-order elliptic equations (35J40) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Variational methods for eigenvalues of operators (49R05) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

• Sharp bounds for the first eigenvalue of a fourth-order Steklov problem
• The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
• The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds
• Positivity preserving property for a class of biharmonic elliptic problems
• Second domain variation for problems with Robin boundary conditions
• On the first eigenvalue of a fourth order Steklov problem
• Variation and optimization of formes. A geometric analysis
• On a fourth order Steklov eigenvalue problem
• Convex shape optimization for the least biharmonic Steklov eigenvalue
• Remarks on a Stekloff Eigenvalue Problem

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