OOIR: Observatory of International Research

Papers

(The median citation count of Potential Analysis is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)

Article	Citations
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	13
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	13
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	10
Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part	10
Boundary Harnack Principle on Uniform Domains	10
Delay Rough Evolution Equations	9
A Trace Inequality for Solenoidal Charges	8
Convergence of Equilibrium Measures under K-regular Polynomial Sequences and their Derivatives	8
Commutators of Riesz Transforms and Global Regularity of Inhomogeneous Dirichlet Problems on NTA Domains	8
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	8
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	8
Fukushima Subspaces of Quasidiffusions	7
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	7
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	6
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	6
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	6
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	5
Capacities and Density Conditions in Metric Spaces	5
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	5
Upper and Lower Bounds for the First Robin Eigenvalue of Nonlinear Elliptic Operators	5
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	5
Asymptotic Behavior of Ground State Solution to Hénon type System	5
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	5
Spherical Functions and Spectrum of the Laplacian on Semi-homogeneous Trees	5
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	5

Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
On the Strong Liouville Property of Covering Spaces	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
Li-Yau Inequality and Related Properties on Metric Star Graphs	4
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	4
Boundedness Properties of the Maximal Operator in a Nonsymmetric Inverse Gaussian Setting	4
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	4
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	4
Connections and Loops Intertwinning	4
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	3
Rough Bilinear Hypersingular Integrals	3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	3
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	3
Boundedness of Multi-Parameter Singular Integrals on Hölder Spaces Associated with Zygmund Dilations	3
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	3
Balayage for Weighted Bergman Spaces	3
Nonlocal Harnack Inequalities in Grushin-type Spaces	3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	3
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	3
Definitions of Quasiconformality on Metric Surfaces	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
Nonlinear Stochastic Laplace Equation: Large Deviation and Measure Concentration	3
Quantitative Diffusion Approximation for the Neutral r-Alleles Wright-Fisher Model with Mutations	3
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
Quantitative Propagation of Chaos in $$L^\eta (\eta \in [0,1])$$-Wasserstein Distance for Mean Field Interacting Particle System	2
Phragmèn-Lindelöf Type Theorems for Elliptic Equations on Infinite Graphs	2
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	2
Harmonic Bergman Projectors on Homogeneous Trees	2
Fractional Derivative Description of the Bloch Space	2
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	2
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
The Discrete Logarithmic Minkowski Problem for Log-capacity	2
Continuity of the Revuz Correspondence Under the Absolute Continuity Condition	2
The Bilinear Bochner-Riesz Operator at the Critical Index	2
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	2

Boundary Representations of Hyperbolic Groups: The Log–Sobolev Case	2
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
Quantitative Approximation of the Burgers and Keller-Segel Equations by Moderately Interacting Particles	2
On $$L^{p}$$-improving Bounds for Maximal Operators Associated with Curves of Finite Type in the Plane	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
Sharp Trace and Korn Inequalities for Differential Operators	2
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	2
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	2
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	2
Averaging Principle for Stochastic Differential Equations with Irregular Coefficients	2
On Removable Sets for Weighted Sobolev Functions	2
Maximal Operator in Musielak–Orlicz–Sobolev Spaces	2
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems	1
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth	1
Extensions of Harmonic Functions of the Complex Plane Slit Along a Line Segment	1
Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces	1
Mosco convergence of gradient forms with non-convex potentials II	1
Space Regularity of Evolution Equations Driven by Rough Paths	1
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	1
Large Deviations for the Two-time Scale 2D Stochastic Electrokinetic Flow	1
Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains	1
Maz’ya–Shaposhnikova Meet Bishop–Gromov	1
The Combinatorial Loewner Property and Super-Multiplicativity Inequalities for Symmetric Self-Similar Metric Spaces	1
Corrigendum to “From $$A_1$$ to $$A_\infty $$: New Mixed Inequalities for Certain Maximal Operators”	1
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations	1
The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise	1
Diffusion Processes with One-sided Selfsimilar Random Potentials	1
Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function	1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces	1
Poincaré and Sobolev Inequalities with Variable Exponents and log-Hölder Continuity Only at the Boundary	1
Weak Error Estimates for Galerkin Approximations of the Stochastic Burgers Equation Driven by Additive Trace-class Noise	1
Fractional Harmonic Measure in Minimum Riesz Energy Problems with External Fields	1
Norm Inequalities for Weighted Dirichlet Spaces with Applications to Conformal Maps	1
The Variation of Maximal Function Associated to a Function	1
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm	1
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	1
Probabilistic Characterization of Weakly Harmonic Maps with Respect to Non-Local Dirichlet Forms	1
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	1
Around Fekete’s Theorem	1
Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees	1
Extrapolation for Weighted Product Morrey Spaces and Some Applications	1
Global $$L^\infty $$ and Decay Estimate for Fractional p-Laplacian Equations in $$D^{s,p}({\mathbb R}^N)$$	1
A Canonical Infinitesimally Hilbertian Structure on Locally Minkowski Spaces	1
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	1
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	1
Fine Boundary Continuity for Degenerate Double-Phase Diffusion	1
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	1
Averaging Principle for Multiscale Forward-backward Stochastic Differential Equations, with Application to Quasi-linear pde’s	1
The Weighted Hp Estimates for Commutators of Fractional Integrals	1
On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups	1
Correction to: The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	1
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	1
$$L^p$$-$$L^q$$ Hypergeometric Spectral and Fourier Multipliers Associated with Root Systems	1
Large Deviations for the Stochastic Nonlinear Heat Equation on a Hilbert Manifold	1
Extremal of Log-Sobolev Functionals and Li-Yau Estimate on $$\textrm{RCD}^*(K,N)$$ Spaces	1
Characterization of Weighted Infinitesimal Boundedness of Schrödinger Operator	1
Large Deviations for an Obstacle Problem with T-monotone Operator and Multiplicative Noise	1
Erratum to: “Stochastic Reaction-diffusion Equations Driven by Jump Processes”	1
Monotonicity in Half-spaces for p-Laplace Problems with a Sublinear Nonlinearity	1
Heat Kernel Asymptotics for Scaling Limits of Isoradial Graphs	1
On the Long-term Behavior for Sub-stationary Markov Processes	1
Convergence of Harmonic Measures and Capacities	1
Characterization of John Domains via Weak Tangents	1
Martingale Theory of Variable Lorentz-Karamata Spaces and Applications to Walsh-Fourier Analysis	1
Correction to: The CMO-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	1
Dimension-Free Estimates for Maximal Functions with Nonisotropic Dilations	1
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle	1
Endpoint Estimates for Two Operators Related to Schrödinger Operators with Inverse-square Potential	1
Properties of Lipschitz Smoothing Heat Semigroups	1
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	1
Riesz Transforms, Function Spaces, and Their Applications on Infinite Dimensional Compact Groups	1
Lower Bounds for the Spectral Gap and an Extension of the Bonnet-Myers Theorem	1
Calderón–Zygmund Operators on Local Hardy Spaces	1
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme	1
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	1
Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure	1
Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain	1