Maximization and minimization problems related to a \(p\)-Laplacian equation on a multiply connected domain

DOI10.11650/tjm.19.2015.3873zbMath1357.35166OpenAlexW2041277914MaRDI QIDQ514842

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 March 2017

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

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.3873

zbMATH Keywords

existenceuniquenessrearrangementminimizationmaximization

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

Rearrangement minimization problems with indefinite external forces ⋮ Variational approaches to characterize weak solutions for some problems of mathematical physics equations ⋮ Maximization and minimization problems related to an equation with the \(p\)-Laplacian

Cites Work

• Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex
• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian

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