The Vanishing of the Fundamental Gap of Convex Domains in

T Bourni, J Clutterbuck, XH Nguyen, A Stancu… - Annales Henri …, 2022 - Springer
The Vanishing of the Fundamental Gap of Convex Domains in $$\mathbb {H}^n$$ | Annales
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Concavity properties of solutions of elliptic equations under conformal deformations

G Khan, S Saha, M Tuerkoen - arXiv preprint arXiv:2403.03200, 2024 - arxiv.org
We study the Dirichlet problem for the weighted Schr\" odinger operator\[-\Delta u+
Vu=\lambda\rho u,\] where $\rho $ is a positive weighting function and $ V $ is a potential …

Negative curvature constricts the fundamental gap of convex domains

G Khan, XH Nguyen - Annales Henri Poincaré, 2024 - Springer
Abstract We consider the Laplace–Beltrami operator with Dirichlet boundary conditions on
convex domains in a Riemannian manifold (M n, g) and prove that the product of the …

Eigenvalue estimates of the drifted Cheng-Yau operator on bounded domains in pinched Cartan-Hadamard manifolds

J da Fonseca, JNV Gomes - arXiv preprint arXiv:2107.09135, 2021 - arxiv.org
We show how a Bochner type formula can be used to establish universal inequalities for the
eigenvalues of the drifted Cheng-Yau operator on a bounded domain in a pinched Cartan …

Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit

J Kerner, M Täufer, P Yatsyna - Oberwolfach Reports, 2023 - ems.press
In many situations, most prominently in quantum mechanics, it is important to understand
well the eigenvalues and associated eigenfunctions of certain self-adjoint differential …

Estimativas de autovalores para o operador de Cheng-Yau deformado sobre domínios limitados em variedades Cartan-Hadamard pinçadas

JCM Fonseca - 2022 - tede.ufam.edu.br
In this thesis, we show how a Bochner type formula can be used to establish universal
inequalities for the eigenvalues of the special case drifted Cheng-Yau operator on a …

[引用][C] V Semana de Matemática

NA do Minicurso, JNV Gomes-DM-UFSCar