Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball
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Publication:2202284
DOI10.1016/j.jde.2020.06.057zbMath1448.35135arXiv2005.07417OpenAlexW3042768221MaRDI QIDQ2202284
Publication date: 18 September 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.07417
Eigenvalue problems for linear operators (47A75) Second-order elliptic equations (35J15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05) PDEs in connection with control and optimization (35Q93)
Related Items (6)
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem ⋮ (Non)local logistic equations with Neumann conditions ⋮ Optimising the carrying capacity in logistic diffusive models: some qualitative results ⋮ Quantitative estimates for parabolic optimal control problems under \(L^\infty\) and \(L^1\) constraints in the ball: quantifying parabolic isoperimetric inequalities ⋮ Shape optimization of a weighted two-phase Dirichlet eigenvalue ⋮ On the logistic diffusive equation with an interior jump condition
Cites Work
- Unnamed Item
- Unnamed Item
- Minimality via second variation for a nonlocal isoperimetric problem
- Optimal potentials for Schrödinger operators
- Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
- On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems
- Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
- Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
- Rearrangements and convexity of level sets in PDE
- Membranes élastiquement liées inhomogènes ou sur une surface: Une nouvelle extension de théorème isopérimétrique de Rayleigh-Faber- Krahn. (Inhomogeneously or on a surface elastically supported membranes: A new extension of the isoperimetric theorem of Rayleigh-Faber-Krahn)
- The stability of some eigenvalue estimates
- Isoperimetric inequalities in potential theory
- Shape variation and optimization. A geometrical analysis
- Improved energy bounds for Schrödinger operators
- Faber-Krahn inequalities in sharp quantitative form
- Stability in shape optimization with second variation
- Stability estimates for the lowest eigenvalue of a Schrödinger operator
- Analysis of the periodically fragmented environment model. I: Species persistence
- A Faber-Krahn inequality for Robin problems in any space dimension
- Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
- Variation d'un point de retournement par rapport au domaine
- Some properties of monotone rearrangement with applications to elliptic equations in cylinders
- About stability of equilibrium shapes
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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