Weighted energy problem on the unit circle
Complex Variables
2013-07-23 v1
Authors:
Igor E. Pritsker
Abstract
We solve the weighted energy problem on the unit circle, by finding the extremal measure and describing its support. Applications to polynomial and exponential weights are also included.
Cite
@article{arxiv.1307.5454,
title = {Weighted energy problem on the unit circle},
author = {Igor E. Pritsker},
journal= {arXiv preprint arXiv:1307.5454},
year = {2013}
}
Related papers
View all related →
Classical Analysis and ODEs · Mathematics
Weighted energy problem on the unit sphere
Mykhailo Bilogliadov
2015-10-23
Complex Variables · Mathematics
An extremal problem for generalized Lelong numbers
Alexander Rashkovskii
2009-07-01
Combinatorics · Mathematics
A bound on the multiplicative energy of a sum set and extremal sum-product problems
Oliver Roche-Newton, Dmitry Zhelezov
2014-10-07
Analysis of PDEs · Mathematics
The extremal problem for weighted combined energy and $\rho-$Nitsche type inequality
Ting Peng, Chaochuan Wang, Xiaogao Feng
2024-06-21
Complex Variables · Mathematics
The extremal problem for weighted combined energy and the generalization of Nitsche inequality
Xiaogao Feng, Ruyue Tang, Ting Peng
2024-01-19
Classical Analysis and ODEs · Mathematics
Minimum Energy Problem on the Hypersphere
Mykhailo Bilogliadov
2016-04-06
Number Theory · Mathematics
Solving quadratic forms in restricted variables with the circle method
Mieke Wessel, Svenja zur Verth
2025-05-26
Quantum Physics · Physics
Integrals for lower bounds to the exact energy
Robbie Thomson Ireland
2021-07-09
Differential Geometry · Mathematics
The hanging chain problem with respect to a circle
Rafael López
2024-05-22
Quantum Physics · Physics
Quantum problem of the potential of a ring charged on the symmetry axis
Wytler Cordeiro dos Santos, Bruno Carmo Nunes, Ronni G. G. Amorim
2025-08-01
Complex Variables · Mathematics
Supports of Weighted Equilibrium Measures and Examples
Muhammed Ali Alan
2010-12-03
Functional Analysis · Mathematics
Constrained extremal problems in the Hardy space H2 and Carleman's formulas
Laurent Baratchart, Juliette Leblond, Fabien Seyfert
2009-11-10
Numerical Analysis · Mathematics
Energy-conserving methods for Hamiltonian Boundary Value Problems and applications in astrodynamics
P. Amodio, L. Brugnano, F. Iavernaro
2014-11-26
Computational Physics · Physics
Linear Scaling Solution of the Coulomb problem using wavelets
S. Goedecker, O. V. Ivanov
2009-10-30
Complex Variables · Mathematics
Existence and Regularity for an Energy Maximization Problem in Two Dimensions
Spyridon Kamvissis, Evguenii A. Rakhmanov
2016-07-22
Analysis of PDEs · Mathematics
Exponential instability in the inverse scattering problem on the energy interval
Mikhail Isaev
2010-12-30
High Energy Astrophysical Phenomena · Physics
On the inverse problem for extragalactic cosmic ray nuclei with energies $10^{18}$ to $10^{20}$ eV
V. N. Zirakashvili, S. I. Rogovaya, V. S. Ptuskin, E. G. Klepach
2017-01-05
Complex Variables · Mathematics
Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection
Timothy Ferguson
2014-10-13
Cosmology and Nongalactic Astrophysics · Physics
Dark Energy
Miao Li, Xiao-Dong Li, Shuang Wang, Yi Wang
2015-03-19
Analysis of PDEs · Mathematics
Nonradial solutions of weighted elliptic superlinear problems in bounded symmetric domains
Hugo Aduén, Sigifredo Herrón
2020-03-31
Numerical Analysis · Mathematics
Analysis and numerical approximation of energy-variational solutions to the Ericksen--Leslie equations
Robert Lasarzik, Maximilian E. V. Reiter
2023-12-22
Optimization and Control · Mathematics
Variational problems on Riemannian manifolds with constrained accelerations
Alexandre Anahory Simoes, Leonardo Colombo
2022-02-25
Optimization and Control · Mathematics
A maximal energy pointset configuration problem
Braxton Osting, Brian Simanek
2018-06-20
General Relativity and Quantum Cosmology · Physics
The Energy of a Dynamical Wave-Emitting System in General Relativity
F. I. Cooperstock, S. Tieu
2022-10-12
Complex Variables · Mathematics
Weighted polynomials and weighted pluripotential theory
Thomas Bloom
2007-05-23