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 2022-08-01 to 2026-08-01.)

Article	Citations
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	12
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	11
Boundary Harnack Principle on Uniform Domains	10
Commutators of Riesz Transforms and Global Regularity of Inhomogeneous Dirichlet Problems on NTA Domains	10
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	10
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	10
A Trace Inequality for Solenoidal Charges	9
Rigidity of Serrin-Type Problems via Integral Identities	8
Delay Rough Evolution Equations	8
Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part	8
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	7
Fukushima Subspaces of Quasidiffusions	7
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	7
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	6
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	6
Wong-Zakai Approximations for Reflected SDEs in Non-Smooth Time-Dependent Domains	6
Convergence of Equilibrium Measures under K-regular Polynomial Sequences and their Derivatives	6
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	6
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	5
Capacities and Density Conditions in Metric Spaces	5
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	5
Asymptotic Behavior of Ground State Solution to Hénon type System	5
Li-Yau Inequality and Related Properties on Metric Star Graphs	5
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	5
Upper and Lower Bounds for the First Robin Eigenvalue of Nonlinear Elliptic Operators	5

Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	5
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	5
Spherical Functions and Spectrum of the Laplacian on Semi-homogeneous Trees	5
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	4
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	4
Connections and Loops Intertwinning	4
Boundedness Properties of the Maximal Operator in a Nonsymmetric Inverse Gaussian Setting	4
Definitions of Quasiconformality on Metric Surfaces	3
Balayage for Weighted Bergman Spaces	3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	3
Quantitative Diffusion Approximation for the Neutral r-Alleles Wright-Fisher Model with Mutations	3
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	3
Boundedness of Multi-Parameter Singular Integrals on Hölder Spaces Associated with Zygmund Dilations	3
Nonlocal Harnack Inequalities in Grushin-type Spaces	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
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
Nonlinear Stochastic Laplace Equation: Large Deviation and Measure Concentration	3
The Higher Order Regularity Problem for Elliptic Systems with Data in Banach Function Spaces	3
Continuity of the Revuz Correspondence Under the Absolute Continuity Condition	2
The Bilinear Bochner-Riesz Operator at the Critical Index	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	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
Maximal Operator in Musielak–Orlicz–Sobolev Spaces	2
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Phragmèn-Lindelöf Type Theorems for Elliptic Equations on Infinite Graphs	2
Quantitative Propagation of Chaos in $$L^\eta (\eta \in [0,1])$$-Wasserstein Distance for Mean Field Interacting Particle System	2
Sharp Trace and Korn Inequalities for Differential Operators	2
Averaging Principle for Stochastic Differential Equations with Irregular Coefficients	2
On Removable Sets for Weighted Sobolev Functions	2
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	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
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	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
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	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
Endpoint Weak-type Bounds Beyond Calderón-Zygmund Theory	2

Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Boundary Representations of Hyperbolic Groups: The Log–Sobolev Case	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
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2