A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter
From MaRDI portal
Publication:282007
DOI10.1016/j.nonrwa.2016.01.015zbMath1375.49064OpenAlexW2286318917MaRDI QIDQ282007
Heinrich Voss, Seyyed Abbas Mohammadi
Publication date: 11 May 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.01.015
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
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Cites Work
- Unnamed Item
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- Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions
- Optimization problems on general classes of rearrangements
- On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems
- Existence of an extremal ground state energy of a nanostructured quantum dot
- An extremal eigenvalue problem for a two-phase conductor in a ball
- Detecting hyperbolic and definite matrix polynomials
- A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration.
- Extremal eigenvalue problems for composite membranes. I
- Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight
- Efficient rearrangement algorithms for shape optimization on elliptic eigenvalue problems
- Extremal principal eigenvalue of the bi-Laplacian operator
- A nonlinear eigenvalue problem arising in a nanostructured quantum dot
- Extremal eigenvalue problems for two-phase conductors
- Eigenvalue problems for the \(p\)-Laplacian
- Optimal ground state energy of two-phase conductors
- A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
- 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
- On optimization problems with prescribed rearrangements
- A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
- Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball
- Global minimizer of the ground state for two phase conductors in low contrast regime
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
