Cover Image

Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Butaev, Almaz, Luo, Liangbing, Shanmugalingam, Nageswari
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Metric Geometry 31E05, 46E36, 49Q20, 65Z99, 30L15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Dirichlet-to-Neumann Map for the $p$-Laplacian on a Metric Measure Space
by: Gibara, Ryan, et al.
Published: (2024)

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry
by: Gibara, Ryan, et al.
Published: (2024)

Well-posedness of Dirichlet boundary value problems for reflected fractional $p$-Laplace-type inhomogeneous equations in compact doubling metric measure spaces
by: Kline, Josh, et al.
Published: (2024)

Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces
by: Kumagai, Takashi, et al.
Published: (2024)

Fractional $p$-Laplacians via Neumann problems in unbounded metric measure spaces
by: Capogna, Luca, et al.
Published: (2024)

On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces
by: Kitagawa, Jun, et al.
Published: (2026)

Regularity of sets of finite fractional perimeter and nonlocal minimal surfaces in metric measure spaces
by: Kline, Josh
Published: (2024)

Sobolev spaces via chains in metric measure spaces
by: Caputo, Emanuele, et al.
Published: (2024)

Warped products, solid hyperbolic fillings, and the identity $D^{1,p} = N^{1,p} + \mathbb{R}$
by: Kangasniemi, Ilmari, et al.
Published: (2025)

Condenser capacities and capacitary potentials for unbounded sets, and global $p$-harmonic Green functions on metric spaces
by: Björn, Anders, et al.
Published: (2023)

Boundary regularity for quasiminima of double-phase problems on metric spaces
by: Nastasi, Antonella, et al.
Published: (2024)

Korevaar-Schoen $p$-energies and their $Γ$-limits on Cheeger spaces
by: Ruiz, Patricia Alonso, et al.
Published: (2024)

Construction of $p$-energy and associated energy measures on Sierpiński carpets
by: Shimizu, Ryosuke
Published: (2021)

Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces
by: Kline, Josh, et al.
Published: (2023)

Ultralimits of Sobolev maps and stability of Dehn functions
by: Ikonen, Toni, et al.
Published: (2026)

Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces
by: Anttila, Riku, et al.
Published: (2025)

An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces
by: Violo, Ivan Yuri
Published: (2025)

Pushforward of currents under Sobolev maps
by: Ikonen, Toni
Published: (2023)

First-order Sobolev spaces, self-similar energies and energy measures on the Sierpiński carpet
by: Murugan, Mathav, et al.
Published: (2023)

On infinity thick quasiconvexity and applications
by: García-Bravo, Miguel, et al.
Published: (2025)

Characterizations of the Sobolev space $\mathrm{H}^{1}$ on the boundary of a strong Lipschitz domain in 3-D
by: Skrepek, Nathanael
Published: (2023)

Non-quasicontinuous Newtonian functions and outer capacities based on Banach function spaces
by: Björn, Anders, et al.
Published: (2025)

Uniqueness and nonuniqueness of $p$-harmonic Green functions on weighted $\mathbf{R}^n$ and metric spaces
by: Björn, Anders, et al.
Published: (2025)

Rigid and flexible Wasserstein spaces
by: Balogh, Zoltán M., et al.
Published: (2025)

Harmonic mappings between singular metric spaces
by: Guo, Chang-Yu
Published: (2017)

An approach to metric space valued Sobolev maps via weak* derivatives
by: Creutz, Paul, et al.
Published: (2021)

Duality for the gradient of a $p$-harmonic function and the existence of gradient curves
by: Eriksson-Bique, Sylvester, et al.
Published: (2025)

Homogenization and integral representation of energy functionals in manifold valued Orlicz-Sobolev spaces
by: Dongho, Joseph, et al.
Published: (2026)

An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces
by: Anttila, Riku
Published: (2025)

A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation
by: Park, Sangmin
Published: (2024)

Limits at infinity for Hajłasz-Sobolev functions in metric spaces
by: Agarwal, Angha, et al.
Published: (2025)

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group
by: Balogh, Zoltán M., et al.
Published: (2023)

Isometric rigidity of the Wasserstein space $\mathcal{W}_1(\mathbf{G})$ over Carnot groups
by: Balogh, Zoltán M., et al.
Published: (2023)

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian
by: Núñez-Zimbrón, Jesús, et al.
Published: (2025)

Regularity for quasilinear elliptic equations in metric measure spaces
by: Schulz, Simon, et al.
Published: (2025)

Sub-Gaussian heat kernel estimates for reflected diffusion on inner uniform domains
by: Anttila, Riku
Published: (2025)

Regularity results for quasiminima of a class of double phase problems
by: Nastasi, Antonella, et al.
Published: (2023)

Metric Sobolev spaces II: dual energies and divergence measures
by: Ambrosio, Luigi, et al.
Published: (2025)

Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques
by: Korte, Riikka, et al.
Published: (2026)

On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry
by: Resende, Reinaldo
Published: (2020)