Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions
DOI10.1007/s10915-021-01413-2zbMath1462.35422OpenAlexW3129123282MaRDI QIDQ1995984
Chiu-Yen Kao, Seyyed Abbas Mohammadi
Publication date: 2 March 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01413-2
Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Composite and mixture properties (74E30) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) PDEs in connection with control and optimization (35Q93)
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Cites Work
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- A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter
- Maximization of the first eigenvalue in problems involving the bi-Laplacian
- Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions
- Shape dependent energy optimization in quantum dots
- Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
- Existence of an extremal ground state energy of a nanostructured quantum dot
- Maximization of the quality factor of an optical resonator
- Bragg structure and the first spectral gap
- Some results on the frequencies of nonhomogeneous rods
- An extremal eigenvalue problem for a two-phase conductor in a ball
- Approximation of symmetrizations and symmetry of critical points
- Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
- Existence of energy minimizing vortices attached to a flat-top seamount
- Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
- Rearrangements of functions, maximization of convex functionals, and vortex rings
- Variational problems on classes of rearrangements and multiple configurations for steady vortices
- The two phase drum with the deepest bass note
- A nonlinear eigenvalue optimization problem: optimal potential functions
- Efficient rearrangement algorithms for shape optimization on elliptic eigenvalue problems
- Band structure optimization of two-dimensional photonic crystals in \(H\)-polarization
- Extremal principal eigenvalue of the bi-Laplacian operator
- Minimization of inhomogeneous biharmonic eigenvalue problems
- A nonlinear eigenvalue problem arising in a nanostructured quantum dot
- Extremal eigenvalue problems for two-phase conductors
- Extremal energies of Laplacian operator: different configurations for steady vortices
- Incorporating topological derivatives into shape derivatives based level set methods
- Minimizing eigenvalues for inhomogeneous rods and plates
- Optimal shape design for the \(p\)-Laplacian eigenvalue problem
- Symmetry of solutions of semilinear elliptic problems
- Eigenvalue problems for the \(p\)-Laplacian
- Resonances of a Finite One-Dimensional Photonic Crystal with a Defect
- Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime
- On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
- Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- Maximisation and minimisation on classes of rearrangements
- Elliptic Partial Differential Equations of Second Order
- Maximizing Band Gaps in Two-Dimensional Photonic Crystals
- Robin boundary value problems on arbitrary domains
- Study of a Mixed Dispersal Population Dynamics Model
- Nonlinear Eigenvalue Problem for Optimal Resonances in Optical Cavities
- Converse Symmetry and Intermediate Energy Values in Rearrangement Optimization Problems
- On the method of moving planes and the sliding method
- Universal approximation of symmetrizations by polarizations
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
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