Constrained and unconstrained rearrangement minimization problems related to the \(p\)-Laplace operator

DOI10.1007/s11856-014-1141-9zbMath1311.49011OpenAlexW2433161101MaRDI QIDQ2339612

Yichen Liu, Behrouz Emamizadeh

Publication date: 2 April 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-1141-9

zbMATH Keywords

Dirichlet boundary value problem\(p\)-Laplace operator\(p\)-energy functionalrearrangement minimization problems

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (12)

Converse Symmetry and Intermediate Energy Values in Rearrangement Optimization Problems ⋮ Optimization problems with fixed volume constraints and stability results related to rearrangement classes ⋮ Rearrangement minimization problems with indefinite external forces ⋮ Cylindrical optimal rearrangement problem leading to a new type obstacle problem ⋮ A rearrangement minimization problem corresponding top-Laplacian equation ⋮ Analyticity of free boundary in an optimal harvesting problem ⋮ Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations ⋮ Optimal harvesting strategy based on rearrangements of functions ⋮ A general existence theorem for a multi-valued control problem ⋮ Optimal rearrangement problem and normalized obstacle problem in the fractional setting ⋮ Fractional optimal maximization problem and the unstable fractional obstacle problem ⋮ Numerical analysis of a free boundary problem with non-local obstacles

Cites Work

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• Some optimization problems for \(p\)-Laplacian type equations
• 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
• Hausdorff measure and stability for the \(p\)-obstacle problem \((2<p<\infty)\).
• On the porosity of free boundaries in degenerate variational inequalities
• Elliptic partial differential equations of second order
• On Reachable Sets and Extremal Rearrangements of Control Functions
• Maximisation and minimisation on classes of rearrangements

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