Nageswari Shanmugalingam

Nageswari Shanmugalingam

University of Cincinnati

H-index: 31

North America-United States

About Nageswari Shanmugalingam

Nageswari Shanmugalingam, With an exceptional h-index of 31 and a recent h-index of 22 (since 2020), a distinguished researcher at University of Cincinnati, specializes in the field of Mathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the Dirichlet-to-Neumann Map for the -Laplacian on a Metric Measure Space

On Carrasco Piaggio’s theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces

Construction of a Dirichlet form on metric measure spaces of controlled geometry

Solving a Dirichlet problem on unbounded domains via a conformal transformation

Fine properties of metric space-valued mappings of bounded variation in metric measure spaces

Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces

Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a -Poincar\'e inequality

Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties

Nageswari Shanmugalingam Information

University

Position

Professor of Mathematics

Citations(all)

4779

Citations(since 2020)

2120

Cited By

3717

hIndex(all)

31

hIndex(since 2020)

22

i10Index(all)

74

i10Index(since 2020)

51

Email

University Profile Page

University of Cincinnati

Google Scholar

View Google Scholar Profile

Nageswari Shanmugalingam Skills & Research Interests

Mathematics

Top articles of Nageswari Shanmugalingam

Title

Journal

Author(s)

Publication Date

On the Dirichlet-to-Neumann Map for the -Laplacian on a Metric Measure Space

arXiv preprint arXiv:2403.06042

Ryan Gibara

Nageswari Shanmugalingam

2024/3/9

On Carrasco Piaggio’s theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces

Preprint

Nageswari Shanmugalingam

2023/1

Construction of a Dirichlet form on metric measure spaces of controlled geometry

arXiv preprint arXiv:2310.14436

Almaz Butaev

Liangbing Luo

Nageswari Shanmugalingam

2023/10/22

Solving a Dirichlet problem on unbounded domains via a conformal transformation

Mathematische Annalen

Ryan Gibara

Riikka Korte

Nageswari Shanmugalingam

2023/9/8

Fine properties of metric space-valued mappings of bounded variation in metric measure spaces

arXiv preprint arXiv:2308.10353

Ivan Caamano

Josh Kline

Nageswari Shanmugalingam

2023/8/20

Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces

Proceedings of the Steklov Institute of Mathematics

Ryan Gibara

Nageswari Shanmugalingam

2023/12

Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a -Poincar\'e inequality

arXiv preprint arXiv:2308.09800

Sylvester Eriksson-Bique

Ryan Gibara

Riikka Korte

Nageswari Shanmugalingam

2023/8/18

Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties

arXiv preprint arXiv:2311.17356

Nageswari Shanmugalingam

2023/11/29

Discontinuous eikonal equations in metric measure spaces

arXiv preprint arXiv:2308.06872

Qing Liu

Nageswari Shanmugalingam

Xiaodan Zhou

2023/8/14

Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry

arXiv preprint arXiv:2311.11960

Sylvester Eriksson-Bique

Ryan Gibara

Riikka Korte

Nageswari Shanmugalingam

2023/11/20

New trends on analysis and geometry in metric spaces: Levico Terme, Italy 2017

Baudoin

Ambrosio

2022

Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry

Journal of Differential Equations

Sylvester Eriksson-Bique

Gianmarco Giovannardi

Riikka Korte

Nageswari Shanmugalingam

Gareth Speight

2022/1/5

Smooth Functions on Rough Spaces and Fractals with Connections to Curvature Functional Inequalities

Luke Rogers

Patricia Alonso Ruiz

Takashi Kumagai

Nageswari Shanmugalingam

2022/11/20

Conformal transformation of uniform domains under weights that depend on distance to the boundary

Analysis and Geometry in Metric Spaces

Ryan Gibara

Nageswari Shanmugalingam

2022/1/1

Potential theory and quasisymmetric maps between compact Ahlfors regular metric measure spaces via Besov functions: preliminary

arXiv preprint arXiv:2210.01095

Juha Lehrback

Nageswari Shanmugalingam

2022/10/3

Neumann problems for -harmonic functions, and induced nonlocal operators in metric measure spaces

arXiv preprint arXiv:2204.00571

Luca Capogna

Josh Kline

Riikka Korte

Nageswari Shanmugalingam

Marie Snipes

2022/4/1

Extension and trace results for doubling metric measure spaces and their hyperbolic fillings

Journal de Mathématiques Pures et Appliquées

Anders Björn

Jana Björn

Nageswari Shanmugalingam

2022/3/1

Brief survey on functions of bounded variation (BV) in metric setting

Nageswari Shanmugalingam

2021/8/8

Traces and extensions of certain weighted Sobolev spaces on and Besov functions on Ahlfors regular compact subsets of

Complex Analysis and its Synergies

Jeff Lindquist

Nageswari Shanmugalingam

2021/3

The Liouville theorem for -harmonic functions and quasiminimizers with finite energy

Mathematische Zeitschrift

Anders Björn

Jana Björn

Nageswari Shanmugalingam

2021/2

See List of Professors in Nageswari Shanmugalingam University(University of Cincinnati)

Co-Authors

H-index: 34
Wen Yuan

Wen Yuan

Beijing Normal University

H-index: 32
Juha Kinnunen

Juha Kinnunen

Aalto-yliopisto

H-index: 22
Ilkka Holopainen

Ilkka Holopainen

Helsingin yliopisto

H-index: 19
Heli Tuominen

Heli Tuominen

Jyväskylän yliopisto

H-index: 19
JESUS ANGEL JARAMILLO

JESUS ANGEL JARAMILLO

Universidad Complutense de Madrid

H-index: 18
Riikka Korte

Riikka Korte

Aalto-yliopisto

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