Optimization problems on general classes of rearrangements

DOI10.1016/j.na.2011.05.039zbMath1219.35066OpenAlexW1968258837MaRDI QIDQ555079

Shigeru Sakaguchi, Giovanni Porru, Fabrizio Cuccu

Publication date: 22 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.039

zbMATH Keywords

uniquenessenergy integraloptimization problemsrearrangements\(p\)-Laplacian

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ Optimization problems with fixed volume constraints and stability results related to rearrangement classes ⋮ Rearrangement minimization problems with indefinite external forces ⋮ Overdetermined problems for p-Laplace and generalized Monge–Ampére equations ⋮ A rearrangement minimization problem related to a nonlinear parametric boundary value problem ⋮ A nonlinear eigenvalue optimization problem: optimal potential functions ⋮ Maximization and minimization problems related to an equation with the \(p\)-Laplacian ⋮ A class of rearrangement optimization problems involving the \(p\)-Laplacian ⋮ Fractional optimal maximization problem and the unstable fractional obstacle problem ⋮ A nonlinear eigenvalue problem arising in a nanostructured quantum dot ⋮ Solvable optimization problems involving a p-Laplacian type operator

Cites Work

• Unnamed Item
• Simplicity of the principal eigenvalue for indefinite quasilinear problems
• 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
• Regularity for a more general class of quasilinear equations
• A strong maximum principle for some quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Uniqueness in a diffusion model of population biology
• Maximisation and minimisation on classes of rearrangements
• An approach to symmetrization via polarization

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