Multipolar Hardy inequalities on Riemannian manifolds

DOI10.1051/cocv/2017057zbMath1408.53052arXiv1609.01080OpenAlexW2785117223WikidataQ115334434 ScholiaQ115334434MaRDI QIDQ4554104

Csaba Farkas, Alexandru Kristály, Francesca Faraci

Publication date: 7 November 2018

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01080

zbMATH Keywords

Riemannian manifoldsHardy inequalitymultipolar

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature ⋮ Constrained local minima for smooth functionals and some consequences ⋮ On fractional multi-singular Schrödinger operators: positivity and localization of binding ⋮ Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds ⋮ Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains
• A spectral result for Hardy inequalities
• The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
• The Hardy inequality and the heat equation in twisted tubes
• Hardy inequalities on Riemannian manifolds and applications
• Singular Poisson equations on Finsler-Hadamard manifolds
• The principle of symmetric criticality
• Comparison theorems in Finsler geometry and their applications
• Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators
• Classical particle in presence of magnetic field, hyperbolic Lobachevsky and spherical Riemann models
• Asymptotically critical problems on higher-dimensional spheres
• On a class of nonlinear Schrödinger equations
• Volume comparison and its applications in Riemann-Finsler geometry
• Hardy inequalities on non-compact Riemannian manifolds
• The entropy formula for linar heat equation
• Minimax theorems
• Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon
• Hardy and Rellich type inequalities on complete manifolds
• On Schrödinger operators with multipolar inverse-square potentials
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• Quantitative Rellich inequalities on Finsler—Hadamard manifolds
• Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
• Improved Multipolar Hardy Inequalities
• BEST CONSTANTS AND POHOZAEV IDENTITY FOR HARDY–SOBOLEV-TYPE OPERATORS
• The Heat Equation with a Singular Potential
• Improved Hardy and Rellich inequalities on Riemannian manifolds
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
• HARDY INEQUALITIES ON RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE
• Riemannian geometry
• Riemannian geometry.

This page was built for publication: Multipolar Hardy inequalities on Riemannian manifolds