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 2021-08-01 to 2025-08-01.)

Article	Citations
A Trace Inequality for Solenoidal Charges	45
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	20
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	19
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	10
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	9
Boundary Harnack Principle on Uniform Domains	9
Fukushima Subspaces of Quasidiffusions	8
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	8
On potentials of Itô’s Processes with Drift in Ld+ 1	8
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	7
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	7
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	7
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	6
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	6
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	6
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	6
Capacities and Density Conditions in Metric Spaces	5
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	5
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	5
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	5
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	5
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	5
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	5
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	4
On the Strong Liouville Property of Covering Spaces	4

Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
Connections and Loops Intertwinning	4
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	4
Li-Yau Inequality and Related Properties on Metric Star Graphs	4
Boundedness Properties of the Maximal Operator in a Nonsymmetric Inverse Gaussian Setting	4
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	4
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	4
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary	3
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space	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
Normal Trace for a Vector Field of Bounded Mean Oscillation	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
Definitions of Quasiconformality on Metric Surfaces	3
Hydrodynamics of the Generalized N-urn Ehrenfest Model	3
Weighted Discrete Hardy Inequalities on Trees and Applications	3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	3
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	3
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	3
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	3
Compactness Characterizations of Commutators on Ball Banach Function Spaces	3
Rough Bilinear Hypersingular Integrals	3
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts	2
Harmonic Bergman Projectors on Homogeneous Trees	2
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	2
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
Sharp Trace and Korn Inequalities for Differential Operators	2
Off-Diagonal Estimates for Bilinear Commutators	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
An Endpoint Estimate for the Commutators of Singular Integral Operators with Rough Kernels	2
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	2

Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	2
An Area Theorem for Joint Harmonic Functions on the Product of Homogeneous Trees	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	2
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	2
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	2
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	2
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications	2