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An existence result for a class of shape optimization problems

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Methods of Mathematical Physics
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Methods of Mathematical Physics
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An Introduction to Γ-Convergence
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
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Optimal Shape Design for Elliptic Systems
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Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
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Relaxed formulation for a class of shape optimization problems
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Convergence of convex sets and of solutions of variational inequalities
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Quasi topologies and rational approximation
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Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets
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An Introduction to Variational Inequalities and Their Applications
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NUMERICAL SHAPE OPTIMIZATION FOR RELAXED DIRICHLET PROBLEMS
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Relaxed shape optimization: the case of nonnegative data for the Dirichlet problem
inferredcites →https://doi.org/10.5802/aif.364openalex-snapshot
The quasi topology associated with a countably subadditive set function

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A free boundary problem arising in PDE optimization
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Existence of minimizers for spectral problems
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Some New Problems in Spectral Optimization
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Some stability results under domain variation for Neumann problems in metric spaces
inferred← citeshttps://doi.org/10.57262/ade/1355854622openalex-snapshot
Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence
inferred← citeshttps://doi.org/10.5802/ahl.31openalex-snapshot
Optimal shapes for general integral functionals
inferred← citeshttps://doi.org/10.5802/jep.4openalex-snapshot
Optimal potentials for Schrödinger operators
inferred← citeshttps://doi.org/10.6092/unina/fedoa/3128openalex-snapshot
Fabric Tensor-based Poroelastic Materials: a "Direct" Approach
inferred← citeshttps://doi.org/10.68381/jca05-2openalex-snapshot
Spectrum Stability of an Elliptic Operator to Domain Perturbations
inferred← citeshttps://doi.org/10.68381/jca06006openalex-snapshot
Lipschitz Continuity of the State Function in a Shape Optimization Problem
inferred← citeshttps://doi.org/10.68381/jca1031openalex-snapshot
Regularity of Optimal Convex Shapes
inferred← citeshttps://doi.org/10.70675/8ee62d4az1272z4965z99e2z31d5043eccd2openalex-snapshot
Existence et régularité des formes optimales pour des problèmes d'optimisation spectrale
inferred← citeshttps://doi.org/10.70675/975cc57bz8761z494fz80c3z78e550d44e01openalex-snapshot
Optimisation du spectre du Laplacien avec conditions de Dirichlet et Neumann dans R² et R³
inferred← citeshttps://doi.org/10.70675/c611ab49z72daz426dz89cdz1b2690ef93d8openalex-snapshot
Shape Optimisation Problems Around the Geometry of Branchiopod Eggs
inferred← citeshttps://doi.org/10.70675/cb1597a8zbbf5z45edzaa3bz046d9ddf1657openalex-snapshot
Shape optimization and spatial heterogeneity in reaction-diffusion equations
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