Faraci, F., Farkas, C. & Kristály, A. (2018) Control Optimisation and Calculus of Variations [Matematică, Q1]

Publicat: 24 Noiembrie 2020

Faraci, F., Farkas, C. & Kristály, A. (2018) Multipolar Hardy inequalities on Riemannian manifolds. Control Optimisation and Calculus of Variations, 24(2), 551-567.

DOI: https://doi.org/10.1051/cocv/2017057

✓ Publisher: EDP Sciences
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Automation & Control Systems; Mathematics, Applied
✓ Article Influence Score (AIS): 1.120 (2018) / Q1 in Mathematics, Applied, Q2 in Automation & Control Systems,

Abstract: We prove multipolar Hardy inequalities on complete Riemannian manifolds, providing various curved counterparts of some Euclidean multipolar inequalities due to Cazacu and Zuazua [Improved multipolar Hardy inequalities, 2013]. We notice that our inequalities deeply depend on the curvature, providing (quantitative) information about the deflection from the flat case. By using these inequalities together with variational methods and group-theoretical arguments, we also establish non-existence, existence and multiplicity results for certain Schrodinger-type problems involving the Laplace-Beltrami operator and bipolar potentials on Cartan-Hadamard manifolds and on the open upper hemisphere, respectively.

inapoi la stiri   vezi evenimentele   home