World's Best Scientists 2026 revealed!
Nageswari Shanmugalingam

Nageswari Shanmugalingam

D-Index & Metrics

Mathematics

D-Index
30
Citations
4791
World Ranking
3466
National Ranking
1350

Overview

Nageswari Shanmugalingam is affiliated with the University of Cincinnati in the United States. Their research primarily spans the field of Mathematics, with a focus on several subfields including Applied Mathematics, Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, and Computational Mechanics.

The scientist has published extensively in areas that include Nonlinear Partial Differential Equations, Geometric Analysis and Curvature Flows, Advanced Harmonic Analysis Research, Advanced Mathematical Modeling in Engineering, Geometry and Complex Manifolds, Analytic and Geometric Function Theory, and advanced mathematical theories.

Frequent co-authors contributing alongside Nageswari Shanmugalingam include Ryan Gibara, Riikka Korte, Sylvester Eriksson-Bique, Luca Capogna, and Fabrice Baudoin.

The scientist has authored numerous papers published in reputed academic venues. Notable recent papers are:

  • Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities, 2020, Journal of Functional Analysis
  • Extension and trace results for doubling metric measure spaces and their hyperbolic fillings, 2021, Journal de Mathématiques Pures et Appliquées
  • Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates, 2021, Calculus of Variations and Partial Differential Equations
  • Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates, 2020, Calculus of Variations and Partial Differential Equations
  • Solving a Dirichlet problem on unbounded domains via a conformal transformation, 2023, Mathematische Annalen

The scientist's publication record shows a diversified presence in journals and conference proceedings, with frequent contributions to places such as:

  • arXiv (Cornell University)
  • Annales Fennici Mathematici
  • Calculus of Variations and Partial Differential Equations
  • Journal of Differential Equations
  • Contemporary Mathematics - American Mathematical Society

Nageswari Shanmugalingam also has a book published by Springer Nature titled New Trends on Analysis and Geometry in Metric Spaces (2022).

Best Publications

  • Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

    Nageswari Shanmugalingam

  • Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients

    Juha Heinonen;Pekka Koskela;Nageswari Shanmugalingam;Jeremy T. Tyson

  • Sobolev Spaces on Metric Measure Spaces

    Unknown

  • Regularity of quasi-minimizers on metric spaces

    Juha Kinnunen;Nageswari Shanmugalingam

  • Harmonic functions on metric spaces

    Nageswari Shanmugalingam

  • Sobolev classes of Banach space-valued functions and quasiconformal mappings

    Juha Heinonen;Pekka Koskela;Nageswari Shanmugalingam;Jeremy T. Tyson

  • Quasicontinuity of Newton-Sobolev functions and density of Lipschitz functions on metric spaces

    Anders Björn;Jana Björn;Nageswari Shanmugalingam

  • Fat sets and pointwise boundary estimates forp-harmonic functions in metric spaces

    Jana Björn;Paul MacManus;Nageswari Shanmugalingam

  • The Dirichlet problem for p-harmonic functions on metric spaces

    Anders Björn;Jana Björn;Nageswari Shanmugalingam

  • Interpolation properties of Besov spaces defined on metric spaces

    Amiran Gogatishvili;Pekka Koskela;Nageswari Shanmugalingam

  • Boundary Harnack Principle for p -harmonic Functions in Smooth Euclidean Domains

    Hiroaki Aikawa;Tero Kilpeläinen;Nageswari Shanmugalingam;Xiao Zhong

  • Poincaré inequalities, uniform domains and extension properties for Newton–Sobolev functions in metric spaces

    Jana Björn;Nageswari Shanmugalingam

  • NON-CONFORMAL LOEWNER TYPE ESTIMATES FOR MODULUS OF CURVE FAMILIES

    Tomasz Adamowicz;Nageswari Shanmugalingam

  • Lebesgue points and capacities via the boxing inequality in metric spaces

    Juha Kinnunen;Riikka Korte;Nageswari Shanmugalingam;Heli Tuominen

  • The Perron method for p-harmonic functions in metric spaces

    Anders Björn;Jana Björn;Nageswari Shanmugalingam

  • MODULUS AND CONTINUOUS CAPACITY

    Sari Kallunki;Nageswari Shanmugalingam

  • Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces☆

    Pekka Koskela;Kai Rajala;Nageswari Shanmugalingam

  • Regularity of sets with quasiminimal boundary surfaces in metric spaces

    Juha Kinnunen;Riikka Korte;Andrew Lorent;Nageswari Shanmugalingam

  • Pointwise properties of functions of bounded variation in metric spaces

    Juha Kinnunen;Riikka Korte;Nageswari Shanmugalingam;Heli Tuominen

  • Acharacterization of Newtonian functions with zero boundary values

    Juha Kinnunen;Riikka Korte;Nageswari Shanmugalingam;Heli Tuominen

  • Some Convergence Results for p-Harmonic Functions on Metric Measure Spaces

    Nageswari Shanmugalingam

  • Singular functions on metric measure spaces.

    Ilkka Holopainen;Nageswari Shanmugalingam

Frequent Co-Authors

Pekka Koskela
Pekka Koskela University of Jyväskylä
Dachun Yang
Dachun Yang Beijing Normal University
Wen Yuan
Wen Yuan Beijing Normal University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career avenues. Many professionals aim to enhance their qualifications through flexible options like an transfer credits for online mba programs, which allow for credit mobility and minimize redundancy in learning.

Another popular pathway is a masters data analytics degree. This program builds on mathematical foundations and equips students with skills in handling big data, predictive modeling, and business intelligence, which are highly sought after in industries like finance, healthcare, and technology.

For those weighing ease and accessibility, identifying the easy mba programs to get into can provide a less competitive but valuable avenue for career advancement. Many candidates appreciate programs designed with flexible admission criteria, balancing quality with accessibility.

Similarly, exploring easy online mba programs offers an opportunity for busy professionals to manage their studies with work or other commitments. These programs emphasize user-friendly formats and practical business knowledge, making them attractive options for mathematics graduates branching into management roles.

Best Scientists Citing Nageswari Shanmugalingam

Trending Scientists