On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms

DOI10.3934/cpaa.2023023OpenAlexW4321505268MaRDI QIDQ2700916

Ying Wang, Qingping Yin, Yanjing Qiu

Publication date: 27 April 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023023

zbMATH Keywords

Dirichlet eigenvaluesHardy operatorcritical gradient term

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Singular elliptic equations (35J75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral result for Hardy inequalities
• Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators
• A lower bound for eigenvalues of a clamped plate problem
• On the Schrödinger equation and the eigenvalue problem
• Bounds on eigenvalues of Dirichlet Laplacian
• Weyl's type estimates on the eigenvalues of critical Schrödinger operators
• Estimates for sums of eigenvalues of the Laplacian
• Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Optimizing improved Hardy inequalities
• On global estimates for Poisson problems with critical singular potentials
• On nonhomogeneous elliptic equations with the Hardy-Leray potentials
• On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians
• Schrödinger operators with Leray-Hardy potential singular on the boundary
• Some improved Caffarelli-Kohn-Nirenberg inequalities
• The Hardy potential and eigenvalue problems
• Weyl's type estimates on the eigenvalues of critical Schrödinger operators using improved Hardy–Sobolev inequalities
• On the Eigenvalues of Vibrating Membranes^†
• Fundamental solutions for Schrödinger operators with general inverse square potentials
• Eigenvalue bounds for Schrödinger operators with complex potentials. III
• A lower bound for sums of eigenvalues of the Laplacian
• Hardy-type inequalities

This page was built for publication: On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms