421 citations
- Babeș-Bolyai UniversityRO45 papers
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12 papers · 1 filter
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
Sándor Kajántó
The sharpness of various Hardy-type inequalities is well-understood in the reversible Finsler setting; while infinite reversibility implies the failure of these functional inequali…
Sharp uncertainty principles on general Finsler manifolds
Libing Huang, Alexandru Kristály, Wei Zhao
The paper is devoted to sharp uncertainty principles (Heisenberg-Pauli-Weyl, Caffarelli-Kohn-Nirenberg and Hardy inequalities) on forward complete Finsler manifolds endowed with an…
On an open question of Ricceri concerning a Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present note we prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri.
New features of the first eigenvalue on negatively curved spaces
Alexandru Kristály
The paper is devoted to the study of fine properties of the first eigenvalue on negatively curved spaces. First, depending on the parity of the space dimension, we provide asymptot…
Nodal solutions for the fractional Yamabe problem on Heisenberg groups
Alexandru Kristály
We prove that the fractional Yamabe equation on the Heisenberg group has sequences of nodal (sign-changing) wea…
Second-order Sobolev inequalities on a class of Riemannian manifolds with nonnegative Ricci curvature
Ezequiel Barbosa, Alexandru Kristály
Let be an dimensional complete open Riemannian manifold with nonnegative Ricci curvature verifying , where is the Laplace-Beltrami operator…