A property of Sobolev spaces and existence in optimal design

DOI10.1007/s00245-002-0740-8zbMath1012.49030OpenAlexW2085346626MaRDI QIDQ1871851

Dan Tiba

Publication date: 4 May 2003

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-002-0740-8

zbMATH Keywords

compactnessshape optimizationopen sets of class \(C\)stability of Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Optimization of shapes other than minimal surfaces (49Q10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (5)

Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions ⋮ Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions ⋮ Iterated Hamiltonian type systems and applications ⋮ The Steklov spectrum on moving domains ⋮ Decomposition of Vector-Valued Divergence Free Sobolev Functions and Shape Optimization for Stationary Navier–Stokes Equations

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