A rearrangement minimization problem related to a nonlinear parametric boundary value problem

DOI10.1016/j.jmaa.2022.126379zbMath1497.35280OpenAlexW4281728768MaRDI QIDQ2154420

Chong Qiu, Yu Ying Zhou, Xiao Qi Yang

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126379

zbMATH Keywords

regularityenergy functional\(p\)-Laplacianrearrangement functions

Mathematics Subject Classification ID

Higher-order hyperbolic equations (35L25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• The art of rearranging
• A class of rearrangement optimization problems involving the \(p\)-Laplacian
• Optimization problems on general classes of rearrangements
• Some optimization problems for \(p\)-Laplacian type equations
• Comparison results for elliptic and parabolic equations via Schwarz symmetrization
• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• Optimal design problems for the first \(p\)-fractional eigenvalue with mixed boundary conditions
• Minimax theorems
• A strong maximum principle for some quasilinear elliptic equations
• Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift
• Sharp a priori estimates for a class of nonlinear elliptic equations with lower order terms
• Extensions of a result by G. Talenti to \((p,q)\)-Laplace equations
• Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• Remarks on sublinear elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• Maximisation and minimisation on classes of rearrangements
• Paths to uniqueness of critical points and applications to partial differential equations
• Optimization of the First Eigenvalue of Equations with Indefinite Weights
• Converse Symmetry and Intermediate Energy Values in Rearrangement Optimization Problems

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