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 2021-06-01 to 2025-06-01.)

Article	Citations
A Trace Inequality for Solenoidal Charges	43
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	19
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	18
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	9
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	9
On potentials of Itô’s Processes with Drift in Ld+ 1	8
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	8
Fukushima Subspaces of Quasidiffusions	8
Boundary Harnack Principle on Uniform Domains	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
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	6
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	6
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	6
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	5
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	5
The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	5
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	5
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	5
Li-Yau Inequality and Related Properties on Metric Star Graphs	4
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	4
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	4
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	4
Capacities and Density Conditions in Metric Spaces	4
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	4

Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	4
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
Connections and Loops Intertwinning	4
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	4
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space	3
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	3
Hydrodynamics of the Generalized N-urn Ehrenfest Model	3
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	3
On the Strong Liouville Property of Covering Spaces	3
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	3
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	3
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary	3
Weighted Discrete Hardy Inequalities on Trees and Applications	3
Compactness Characterizations of Commutators on Ball Banach Function Spaces	3
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Large Deviations and Gradient Flows for the Brownian One-Dimensional Hard-Rod System	2
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	2
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	2
Sharp Trace and Korn Inequalities for Differential Operators	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	2
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
Off-Diagonal Estimates for Bilinear Commutators	2
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	2
Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry	2
An Area Theorem for Joint Harmonic Functions on the Product of Homogeneous Trees	2
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	2

Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	2
Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights	2
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Normal Trace for a Vector Field of Bounded Mean Oscillation	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Rough Bilinear Hypersingular Integrals	2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	2
Harmonic Bergman Projectors on Homogeneous Trees	2