Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$
Publication type: Journal Article
Publication date: 2025-02-13
scimago Q1
wos Q1
SJR: 2.292
CiteScore: 2.8
Impact factor: 1.4
ISSN: 00255831, 14321807
Abstract
In this paper we prove symmetry of nonnegative solutions of the integral equation $$\begin{aligned} u (\zeta ) = \int \limits _{{\mathbb {H}}^n} |\zeta ^{-1} \xi |^{-(Q-\alpha )} u(\xi )^{p} d\xi \quad 1< p \le \frac{Q+\alpha }{Q-\alpha },\ 0< \alpha
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Prajapat J. V. et al. Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$ // Mathematische Annalen. 2025. Vol. 392. No. 1. pp. 659-700.
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Prajapat J. V., Varghese A. S. Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$ // Mathematische Annalen. 2025. Vol. 392. No. 1. pp. 659-700.
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TY - JOUR
DO - 10.1007/s00208-025-03100-1
UR - https://link.springer.com/10.1007/s00208-025-03100-1
TI - Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$
T2 - Mathematische Annalen
AU - Prajapat, Jyotshana V.
AU - Varghese, Anoop Skaria
PY - 2025
DA - 2025/02/13
PB - Springer Nature
SP - 659-700
IS - 1
VL - 392
SN - 0025-5831
SN - 1432-1807
ER -
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@article{2025_Prajapat,
author = {Jyotshana V. Prajapat and Anoop Skaria Varghese},
title = {Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$},
journal = {Mathematische Annalen},
year = {2025},
volume = {392},
publisher = {Springer Nature},
month = {feb},
url = {https://link.springer.com/10.1007/s00208-025-03100-1},
number = {1},
pages = {659--700},
doi = {10.1007/s00208-025-03100-1}
}
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Prajapat, Jyotshana V., et al. “Symmetry and classification of solutions to an integral equation in the Heisenberg group $${\mathbb {H}}^n$$.” Mathematische Annalen, vol. 392, no. 1, Feb. 2025, pp. 659-700. https://link.springer.com/10.1007/s00208-025-03100-1.