Rearrangement Optimization Problems with Free Boundary

DOI10.1080/01630563.2014.884587zbMath1290.49005OpenAlexW2028786858MaRDI QIDQ4979776

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Publication date: 19 June 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.884587

zbMATH Keywords

symmetryexistenceuniquenessrearrangementsminimizationfree boundarylocal minimizersmaximizationco-area formula

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

A rearrangement minimization problem corresponding top-Laplacian equation ⋮ Optimal harvesting strategy based on rearrangements of functions

Cites Work

• Rearrangements of functions, maximization of convex functionals, and vortex rings
• A computational method of solving free-boundary problems in vortex dynamics
• Elliptic partial differential equations of second order
• Symmetry of solutions to optimization problems related to partial differential equations
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