6 papers
A Dirichlet inclusion problem on Finsler manifolds
Ágnes Mester, Károly Szilák
In this paper we study a Dirichlet-type differential inclusion involving the Finsler-Laplace operator on a complete Finsler manifold. Depending on the positive parameter of the…
Standardized feature extraction from pairwise conflicts applied to the train rescheduling problem
Anikó Kopacz, Ágnes Mester, Sándor Kolumbán +1
We propose a train rescheduling algorithm which applies a standardized feature selection based on pairwise conflicts in order to serve as input for the reinforcement learning frame…
Sharp Morrey-Sobolev inequalities and eigenvalue problems on Riemannian-Finsler manifolds with nonnegative Ricci curvature
Alexandru Kristály, Ágnes Mester, Ildikó I. Mezei
Combining the sharp isoperimetric inequality established by Z. Balogh and A. Kristály [Math. Ann., in press, doi:10.1007/s00208-022-02380-1] with an anisotropic symmetrization argu…
A bipolar Hardy inequality on Finsler manifolds
Ágnes Mester, Alexandru Kristály
We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure…
Sufficient criteria for obtaining Hardy inequalities on Finsler manifolds
Ágnes Mester, Ioan Radu Peter, Csaba Varga
We establish Hardy inequalities involving a weight function on complete, not necessarily reversible Finsler manifolds. We prove that the superharmonicity of the weight function pro…
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups
Csaba Farkas, Alexandru Kristály, Ágnes Mester
Given a complete non-compact Riemannian manifold with certain curvature restrictions, we introduce an expansion condition concerning a group of isometries of th…