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 2021-02-01 to 2025-02-01.)

Article	Citations
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift	37
Equivalence of Sobolev Norms with Respect to Weighted Gaussian Measures	17
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations	13
From A1 to $A_{\infty }$: New Mixed Inequalities for Certain Maximal Operators	8
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms	7
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data	7
$$p-$$Harmonic Functions in the Upper Half-space	7
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	6
The Normal Contraction Property for Non-Bilinear Dirichlet Forms	6
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics	6
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	6
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces	6
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	5
On M. Riesz Conjugate Function Theorem for Harmonic Functions	5
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents	5
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	5
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	5
Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications	5
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	4
Strong Solutions of Stochastic Differential Equations with Coefficients in Mixed-Norm Spaces	4
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs	4
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	4
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	4
Asymptotic Behavior of Ground States and Local Uniqueness for Fractional Schrödinger Equations with Nearly Critical Growth	4
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	4

A BMO-Type Characterization of Higher Order Sobolev Spaces	4
A Trace Inequality for Solenoidal Charges	4
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	4
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	4
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	4
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators	3
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting	3
Boundary Harnack Principle on Uniform Domains	3
The Weighted Hp Estimates for Commutators of Fractional Integrals	3
Regularizing Properties of (Non-Gaussian) Transition Semigroups in Hilbert Spaces	3
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	3
Optimal Extension to Sobolev Rough Paths	3
Sobolev-Type Inequalities on Cartan-Hadamard Manifolds and Applications to some Nonlinear Diffusion Equations	3
Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees	3
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	3
Off-Diagonal Heat Kernel Estimates for Symmetric Diffusions in a Degenerate Ergodic Environment	3
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares	3
Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces	3
Maz’ya–Shaposhnikova Meet Bishop–Gromov	3
C1,α Regularity for Degenerate Fully Nonlinear Elliptic Equations with Neumann Boundary Conditions	2
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	2
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrödinger Equation	2
Neumann Boundary Problems for Parabolic Partial Differential Equations with Divergence Terms	2
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	2
The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets	2
Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes	2
Extrapolation for Weighted Product Morrey Spaces and Some Applications	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Rough Bilinear Hypersingular Integrals	2
On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients	2
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential	2
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients	2
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	2
Positive Solutions of Schrödinger Equations in Product form and Martin Compactifications of the Plane, II	2
A Small Time Approximation for the Solution to the Zakai Equation	2
Heat Kernel Estimates of Fractional Schrödinger Operators with Hardy Potential on Half-line	2
Sobolev Extension on Lp-quasidisks	2
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	2
Parabolic Harnack Inequality Implies the Existence of Jump Kernel	2
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	2
The Fractional Laplacian with Reflections	2
Martin Boundary of Killed Random Walks on Isoradial Graphs	2
Khavinson Problem for Hyperbolic Harmonic Mappings in Hardy Space	2
Diffusion Processes with One-sided Selfsimilar Random Potentials	2
Normal Trace for a Vector Field of Bounded Mean Oscillation	2
On potentials of Itô’s Processes with Drift in Ld+ 1	2