P. Koskela, M. Miranda Jr, N. Shanmugalingam:
Geometric properties of planar BV-extension domains
International Mathematical Series (N.Y.) Vol. 11, N. 1, p. 255-272, 2010
R. Korte, N. Marola, N. Shanmugalingam:
Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property
Ark. Mat. Vol. 50, N. 1, p. 111-134, 2012
E. Durand-Cartagena, N. Shanmugalingam, A. Williams:
$p$-Poincaré inequality vs. infinity-Poincaré inequality; some counter-examples
Math. Z. Vol. 271, p. 447--467, 2012
E. Durand-Cartagena, J. Á. Jaramillo, N. Shanmugalingam:
First order Poincaré inequalities in metric measure spaces
Ann. Ac. Sci. Fen. Math. Vol. 38, p. 287--308, 2013
J. Kinnunen, R. Korte, A. Lorent, N. Shanmugalingam:
Regularity of sets with quasiminimal boundary surfaces in metric spaces
J. Geom. Anal. Vol. 23, N. 4, p. 1607-1640, 2013
N. Marola, M. Miranda Jr, N. Shanmugalingam:
Boundary measures, generalized Gauss-Green formulas and the mean value property in metric measure spaces
Revista Mathematica Iberoamericana (Accepted) 2014
J. Kinnunen, R. Korte, N. Marola, N. Shanmugalingam:
A characterization of BMO self-maps of a metric measure space
Collect. Math. (To appear) 2015
H. Hakkarainen, R. Korte, P. Lahti, N. Shanmugalingam:
Stability and continuity of functions of least gradient
Analysis and Geometry in Metric Spaces (Published) Vol. 3, p. 123-139, 2015
R. Korte, P. Lahti, N. Shanmugalingam:
Semmes family of curves and a characterization of functions of bounded variation in terms of curves
Calc. Var. PDE (Accepted Paper) 2015
N. Marola, M. Miranda Jr, N. Shanmugalingam:
Characterizations of sets of finite perimeter using heat kernels in metric spaces
Potential Analysis (Online First Paper) 2016
L. Malý, N. Shanmugalingam, M. Snipes:
Trace and extension theorems for functions of bounded variation
Annali SNS. (Accepted: 2016) 2016
E. Durand-Cartagena, J. Á. Jaramillo, N. Shanmugalingam:
Geometric characterizations of $p$-Poincaré inequalities
Pub. Mat. Vol. 60, p. 81-111, 2016
H. Aikawa, A. Bjorn, J. Bjorn, N. Shanmugalingam:
DICHOTOMY OF GLOBAL CAPACITY DENSITY IN METRIC MEASURE SPACES
Advances in Calc. Var. Vol. 11, N. 4, p. 387--404, 2016
R. Korte, P. Lahti, X. Li, N. Shanmugalingam:
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
Revista Mat. Iberoamericana (Accepted Paper) 2017
L. Malý, N. Shanmugalingam:
Neumann problem for p-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity
J. Diff. Eq. Vol. 265, N. 6, p. 2431-2460, 2018
P. Lahti, N. Shanmugalingam:
Trace theorems for functions of bounded variation in metric spaces
J. Funct. Anal. Vol. 274, N. 10, p. 2754-2791, 2018
P. Lahti, L. Malý, N. Shanmugalingam, G. Speight:
Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient
Journal of Geometric Analysis (Accepted Paper) 2018
E. Durand-Cartagena, J. Á. Jaramillo, N. Shanmugalingam:
Existence and uniqueness of $\infty$-harmonic functions under assumption of $\infty$-Poincaré inequality
Mathematische Annalen (Accepted Paper) 2018
S. Eriksson-Bique, J. Gill, P. Lahti, N. Shanmugalingam:
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces
(Preprint) 2018
N. Shanmugalingam:
$p$-hyperbolicity of ends and families of paths in metric spaces
(Proceedings) 2019
E. Durand-Cartagena, S. Eriksson-Bique, R. Korte, N. Shanmugalingam:
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$-Poincaré inequality
Advances in Calculus of Variations (Accepted Paper) 2019
R. Jones, P. Lahti, N. Shanmugalingam:
Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry
Indiana University Math. J. (Accepted Paper) 2019
Q. Liu, N. Shanmugalingam, X. Zhou:
Equivalence of solutions of eikonal equation in metric spaces
(Preprint) 2020
J. Lindquist, N. Shanmugalingam:
Traces and extensions of certain weighted Sobolev spaces on $\mathbb{R}^n$ and Besov functions on Ahlfors regular compact subsets of $\mathbb{R}^n$
(Submitted Paper) 2020
A. Bjorn, J. Bjorn, N. Shanmugalingam:
Extension and trace results for doubling metric measure spaces and their hyperbolic fillings
(Submitted Paper) 2020
S. Eriksson-Bique, G. Giovannardi, R. Korte, N. Shanmugalingam, G. Speight:
Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry
(Preprint) 2020
A. Bjorn, J. Bjorn, N. Shanmugalingam:
Classification of metric measure spaces and their ends using $p$-harmonic functions
(Submitted Paper) 2021