Cylindrical optimal rearrangement problem leading to a new type obstacle problem

DOI10.1051/cocv/2017047zbMath1402.49007OpenAlexW2686258786MaRDI QIDQ4554118

Hayk Mikayelyan

Publication date: 7 November 2018

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/2017047

zbMATH Keywords

rearrangementsobstacle problem

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

Optimal rearrangement problem and normalized obstacle problem in the fractional setting ⋮ Fractional optimal maximization problem and the unstable fractional obstacle problem ⋮ On some nonlocal problems in the calculus of variations ⋮ Numerical analysis of a free boundary problem with non-local obstacles ⋮ ERRATUM: Cylindrical optimal rearrangement problem leading to a new type obstacle problem

Cites Work

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• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Rearrangements and convexity of level sets in PDE
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• The obstacle problem revisited
• Elliptic partial differential equations of second order
• Constrained and unconstrained rearrangement minimization problems related to the \(p\)-Laplace operator
• On Reachable Sets and Extremal Rearrangements of Control Functions
• Maximisation and minimisation on classes of rearrangements
• Sharp results for the regularity and stability of the free boundary in the obstacle problem

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