Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications
From MaRDI portal
Publication:5118956
DOI10.1051/cocv/2019022zbMath1446.35085arXiv1804.10569OpenAlexW2950998968WikidataQ128088926 ScholiaQ128088926MaRDI QIDQ5118956
Corentin Léna, Laura Abatangelo, Veronica Felli
Publication date: 28 August 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10569
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)
Related Items (3)
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region ⋮ Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the eigenvalues of Aharonov-Bohm operators with varying poles
- On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues
- On Aharonov-Bohm operators with two colliding poles
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- An introduction to Sobolev spaces and interpolation spaces
- Ramification of a multiple eigenvalue of the Dirichlet problem for the Laplacian under singular perturbation of the boundary condition
- Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
- Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations
- Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles
- Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
- On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole
- Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations
- Nodal sets of magnetic Schroedinger operators of Aharonov-Bohm type and energy minimizing partitions
- Aharonov–Bohm Hamiltonians, isospectrality and minimal partitions
- Regularity and perturbation results for mixed second order elliptic problems
- Difference Quotients and Elliptic Mixed Boundary Problems of Second Order
- Eigenvalues variations for Aharonov-Bohm operators
- Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles
This page was built for publication: Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications