OOIR: Observatory of International Research

Papers

(The TQCC of Potential Analysis is 2. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	37
A Trace Inequality for Solenoidal Charges	13
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	13
Commutators of Riesz Transforms and Global Regularity of Inhomogeneous Dirichlet Problems on NTA Domains	10
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	10
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	9
Convergence of Equilibrium Measures under K-regular Polynomial Sequences and their Derivatives	8
Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part	8
Fukushima Subspaces of Quasidiffusions	8
Delay Rough Evolution Equations	8
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	8
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	8
Boundary Harnack Principle on Uniform Domains	8
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	7
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	7
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	7
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	6
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	6
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	5
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	5
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	5
Li-Yau Inequality and Related Properties on Metric Star Graphs	5
Spherical Functions and Spectrum of the Laplacian on Semi-homogeneous Trees	5
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	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
Capacities and Density Conditions in Metric Spaces	5
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	4
Definitions of Quasiconformality on Metric Surfaces	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	4
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	4
Boundedness Properties of the Maximal Operator in a Nonsymmetric Inverse Gaussian Setting	4
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	4
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	4
Connections and Loops Intertwinning	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
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Balayage for Weighted Bergman Spaces	3
Nonlocal Harnack Inequalities in Grushin-type Spaces	3
Quantitative Diffusion Approximation for the Neutral r-Alleles Wright-Fisher Model with Mutations	3
Edge Laplacians and Edge Poisson Transforms for Graphs	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
Boundedness of Multi-Parameter Singular Integrals on Hölder Spaces Associated with Zygmund Dilations	3
Phragmèn-Lindelöf Type Theorems for Elliptic Equations on Infinite Graphs	3
Rough Bilinear Hypersingular Integrals	3
Nonlinear Stochastic Laplace Equation: Large Deviation and Measure Concentration	3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	3
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	3
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	3
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	2
Continuity of the Revuz Correspondence Under the Absolute Continuity Condition	2
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	2
Quantitative Approximation of the Burgers and Keller-Segel Equations by Moderately Interacting Particles	2
Sharp Trace and Korn Inequalities for Differential Operators	2
Averaging Principle for Stochastic Differential Equations with Irregular Coefficients	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
Maximal Operator in Musielak–Orlicz–Sobolev Spaces	2
The Bilinear Bochner-Riesz Operator at the Critical Index	2
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	2
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	2
The Discrete Logarithmic Minkowski Problem for Log-capacity	2
Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry	2
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2

Quantitative Propagation of Chaos in $$L^\eta (\eta \in [0,1])$$-Wasserstein Distance for Mean Field Interacting Particle System	2
On $$L^{p}$$-improving Bounds for Maximal Operators Associated with Curves of Finite Type in the Plane	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
On Removable Sets for Weighted Sobolev Functions	2
Diffusion Processes with One-sided Selfsimilar Random Potentials	2
Fractional Derivative Description of the Bloch Space	2
Harmonic Bergman Projectors on Homogeneous Trees	2
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	2
The Weighted Hp Estimates for Commutators of Fractional Integrals	2