Mathematics | Cambridge Core

Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Potential Theory. Papers on this page are organised in collections from 31- through 31E, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

31-xx: Potential theory 31Axx: Two-dimensional theory 31Bxx: Higher-dimensional theory 31Cxx: Other generalizations 31Dxx: Axiomatic potential theory 31Exx: Potential theory on metric spaces

Article
Nonlocal anisotropic interactions of Coulomb type
Maria Giovanna Mora
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Integral mean estimates for univalent and locally univalent harmonic mappings
Suman Das, Anbareeswaran Sairam Kaliraj
Canadian Mathematical Bulletin, Volume 67, Issue 3

Article
Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
Ming-Sheng Liu, Saminathan Ponnusamy
Canadian Mathematical Bulletin, Volume 67, Issue 1

Article
Approximation numbers of composition operators on weighted besov spaces of analytic functions
Stamatis Pouliasis
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 2

Article
Commutativity via spectra of exponentials
Rudi Brits, Francois Schulz, Cheick Touré
Canadian Mathematical Bulletin, Volume 65, Issue 4

Article
Twisted cohomological equations for translation flows
GIOVANNI FORNI
Ergodic Theory and Dynamical Systems, Volume 42, Issue 3

Article
Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials
ELENA CHERKAEV, MINWOO KIM, MIKYOUNG LIM
European Journal of Applied Mathematics, Volume 33, Issue 3

Article
Total disconnectedness of Julia sets of random quadratic polynomials
KRZYSZTOF LECH, ANNA ZDUNIK
Ergodic Theory and Dynamical Systems, Volume 42, Issue 5

Article
Schwarz lemma for harmonic functions in the unit ball
Zhenghua Xu, Ting Yu, Qinghai Huo
Proceedings of the Edinburgh Mathematical Society, First View

Article
Lower bounds on Bourgain’s constant for harmonic measure
Matthew Badger, Alyssa Genschaw
Canadian Journal of Mathematics, Volume 76, Issue 6

Article
A revisit to “On BMO and Carleson measures on Riemannian manifolds”
Bo Li, Jinxia Li, Qingze Lin, Bolin Ma, Tianjun Shen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 4

Article
On the $A_{\infty }$ condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition
Mingming Cao, Óscar Domínguez, José María Martell, Pedro Tradacete
Forum of Mathematics, Sigma, Volume 10

Article
Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces
Yoshihiro Mizuta, Tetsu Shimomura
Canadian Mathematical Bulletin, Volume 65, Issue 4

Article
Existence results for a nonlinear nonautonomous transmission problem via domain perturbation
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 6

Article
Unique continuation properties for polyharmonic maps between Riemannian manifolds
Volker Branding, Stefano Montaldo, Cezar Oniciuc, Andrea Ratto
Canadian Journal of Mathematics, Volume 75, Issue 1

Article
UNIQUENESS OF EXTENDABLE TEMPERATURES
NEIL A. WATSON
Bulletin of the Australian Mathematical Society, Volume 103, Issue 2

Article
Complex linear differential equations with solutions in weighted Dirichlet spaces and derivative Hardy spaces
Qingze Lin, Huayou Xie
Canadian Mathematical Bulletin, First View

Article
Finely quasiconformal mappings
Panu Lahti
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Cesàro-type operators on Bergman–Morrey spaces and Dirichlet–Morrey spaces
Huayou Xie, Qingze Lin, Junming Liu
Proceedings of the Edinburgh Mathematical Society, First View

Article
Dirichlet-type spaces of the unit bidisc and toral 2-isometries
Santu Bera, Sameer Chavan, Soumitra Ghara
Canadian Journal of Mathematics, First View

Article
Collapse and diffusion in harmonic activation and transport
Jacob Calvert, Shirshendu Ganguly, Alan Hammond
Forum of Mathematics, Sigma, Volume 11

Article
Involutivity of distributions at points of superdense tangency with respect to normal currents
Silvano Delladio
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 2

Article
Liouville property and quasi-isometries on negatively curved Riemannian surfaces
Ana Granados, Domingo Pestana, Ana Portilla, José M. Rodríguez, Eva Tourís
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 1

Article
A note on cyclic vectors in Dirichlet-type spaces in the unit ball of ${\mathbb C}^n$
Dimitrios Vavitsas
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
The parabolicity of Brelot's harmonic spaces
Hideo Imai
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 59, Issue 1

Article
Systems involving mean value formulas on trees
Alfredo Miranda, Carolina A. Mosquera, Julio D. Rossi
Canadian Journal of Mathematics, First View

Article
Equivalence of Besov spaces on p.c.f. self-similar sets
Shiping Cao, Hua Qiu
Canadian Journal of Mathematics, Volume 76, Issue 4

Article
Brownian motion on the golden ratio Sierpinski gasket
Shiping Cao, Hua Qiu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 3

Article
A Note About the Strong Maximum Principle on RCD Spaces
Nicola Gigli, Chiara Rigoni
Canadian Mathematical Bulletin, Volume 62, Issue 2

MSC 2010: Potential theory

Potential theory (31-XX)

Two-dimensional theory (31Axx)

Nonlocal anisotropic interactions of Coulomb type

Integral mean estimates for univalent and locally univalent harmonic mappings

Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings

Approximation numbers of composition operators on weighted besov spaces of analytic functions

Commutativity via spectra of exponentials

Twisted cohomological equations for translation flows

Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials

Total disconnectedness of Julia sets of random quadratic polynomials

Higher-dimensional theory (31Bxx)

Schwarz lemma for harmonic functions in the unit ball

Lower bounds on Bourgain’s constant for harmonic measure

A revisit to “On BMO and Carleson measures on Riemannian manifolds”

On the $A_{\infty }$ condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition

Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces

Existence results for a nonlinear nonautonomous transmission problem via domain perturbation

Unique continuation properties for polyharmonic maps between Riemannian manifolds

UNIQUENESS OF EXTENDABLE TEMPERATURES

Other generalizations (31Cxx)

Complex linear differential equations with solutions in weighted Dirichlet spaces and derivative Hardy spaces

Finely quasiconformal mappings

Cesàro-type operators on Bergman–Morrey spaces and Dirichlet–Morrey spaces

Dirichlet-type spaces of the unit bidisc and toral 2-isometries

Collapse and diffusion in harmonic activation and transport

Involutivity of distributions at points of superdense tangency with respect to normal currents

Liouville property and quasi-isometries on negatively curved Riemannian surfaces

A note on cyclic vectors in Dirichlet-type spaces in the unit ball of ${\mathbb C}^n$

Axiomatic potential theory (31Dxx)

The parabolicity of Brelot's harmonic spaces

Potential theory on metric spaces (31Exx)

Systems involving mean value formulas on trees

Equivalence of Besov spaces on p.c.f. self-similar sets

Brownian motion on the golden ratio Sierpinski gasket

A Note About the Strong Maximum Principle on RCD Spaces