A nonlinear eigenvalue optimization problem: optimal potential functions

DOI10.1016/j.nonrwa.2017.09.003zbMath1380.49070OpenAlexW2763163355MaRDI QIDQ1686289

Seyyed Abbas Mohammadi, Pedro R. S. Antunes, Heinrich Voss

Publication date: 21 December 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.09.003

zbMATH Keywords

nonlinear eigenvalue problemshape optimizationquantum dotsultra-high contrast regime

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

A rearrangement minimization problem corresponding top-Laplacian equation ⋮ Tuning the total displacement of membranes ⋮ Inverse power method for the principal eigenvalue of the Robin \(p\)-Laplacian ⋮ Optimal shape design for the \(p\)-Laplacian eigenvalue problem ⋮ Linear convergence of a rearrangement method for the one-dimensional Poisson equation ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions

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