Distinctii / Awards
     Oferta educationala
     Examen finalizare studii
     Alegeri academice

Monica Violeta Achim (Editor), Economic and Financial Crime, Sustainability and Good Governance, Springer, 2023
vezi si alte aparitii editoriale

Facebook LinkedIn Twitter
Str. Teodor Mihali, Nr. 58-60 400591,
Cluj Napoca, Romania
Tel: +40 264-41.86.55
Fax: +40 264-41.25.70

Universitatea Babes-Bolyai | Noutati UBB | Info COVID-19
FSEGA Online | FSEGA SIS | FSEGA Alumni | Sustenabilitate
Contact | Harta Site | Viziteaza FSEGA

Kajanto, S. & Kristaly, A. (In press) Optimization [Core Economics, Q2]

Autor: Ovidiu Ioan Moisescu

Publicat: 21 August 2023

Kajanto, S. & Kristaly, A. (In press) Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case. Optimization.


✓ Publisher: Taylor & Francis
✓ Categories: Operations Research & Management Science; Mathematics, Applied
✓ Article Influence Score (AIS): 0.708 (2022) / Q2 in all categories

Abstract: In this paper we investigate the Riemannian extensibility of saturation phenomena treated first in the Euclidean framework by Brandolini et al. (2011). The saturation problem is formulated in terms of the first eigenvalue of the perturbation of the Laplace-Beltrami operator by the integral of the unknown function: the first eigenvalue increases with the weight affecting the integral up to a finite critical value and then remains constant, i.e. it saturates. Given a Riemannian manifold with certain curvature constraints, by using symmetrization arguments and sharp isoperimetric inequalities, we reduce the general problem to a variational one, formulated on either positively or negatively curved Riemannian model spaces; in addition, the possible scenarios for the optimal domains turn to be either geodesic balls or the union of two disjoint geodesic balls. We then explicitly compute the eigenvalues and eigenfunctions in terms of the radii, curvature and weight. A sufficient condition (incompatibility of a system of nonlinear equations involving special functions) is given that implies similar saturation phenomena to the Euclidean case. Due to its highly nonlinear character of the reduced problem (arising from the presence of curvature and special functions), we provide only partial answers to the original problem. However, both analytical computations and numerical tests suggest that the required incompatibility always persists. In addition, in the limit cases when the curvature tends to zero (for both positive and negative curvature), our results reduce to the Euclidean version.

inapoi la stiri   vezi evenimentele   home

       Copyright © 22-09-2023 FSEGA. Protectia datelor cu caracter personal FSEGA. Protectia datelor cu caracter personal UBB.
       Web Developer  Dr. Daniel Mican   Graphic Design  Mihai-Vlad Guta