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 2021-04-01 to 2025-04-01.)

Article	Citations
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations	39
The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets	17
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	17
A Trace Inequality for Solenoidal Charges	10
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	8
The Normal Contraction Property for Non-Bilinear Dirichlet Forms	8
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data	8
Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes	7
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	7
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators	7
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	7
Large Deviations for the Two-time Scale 2D Stochastic Electrokinetic Flow	6
The Weighted Hp Estimates for Commutators of Fractional Integrals	6
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	6
Regularizing Properties of (Non-Gaussian) Transition Semigroups in Hilbert Spaces	6
Maz’ya–Shaposhnikova Meet Bishop–Gromov	5
Boundary Harnack Principle on Uniform Domains	5
Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees	5
Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces	4
Diffusion Processes with One-sided Selfsimilar Random Potentials	4
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	4
$$p-$$Harmonic Functions in the Upper Half-space	4
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	4
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	4
Optimal Extension to Sobolev Rough Paths	4

On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs	4
Off-Diagonal Heat Kernel Estimates for Symmetric Diffusions in a Degenerate Ergodic Environment	3
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	3
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	3
Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications	3
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	3
Asymptotic Behavior of Ground States and Local Uniqueness for Fractional Schrödinger Equations with Nearly Critical Growth	3
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	3
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares	3
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	3
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics	3
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms	3
A BMO-Type Characterization of Higher Order Sobolev Spaces	3
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting	3
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	3
Equivalence of Sobolev Norms with Respect to Weighted Gaussian Measures	3
Khavinson Problem for Hyperbolic Harmonic Mappings in Hardy Space	3
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces	3
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds	2
Sobolev Extension on Lp-quasidisks	2
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	2
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	2
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	2
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrödinger Equation	2
Martin Boundary of Killed Random Walks on Isoradial Graphs	2
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form	2
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift	2
Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces	2
A Canonical Infinitesimally Hilbertian Structure on Locally Minkowski Spaces	2
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	2
The Fractional Laplacian with Reflections	2
Normal Trace for a Vector Field of Bounded Mean Oscillation	2
A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in $$\mathbb {S}^n\times \mathbb {R}$$ and $$\mathbb {H}^n\times \mathbb {R}$$	2
On potentials of Itô’s Processes with Drift in Ld+ 1	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Monotonicity in Half-spaces for p-Laplace Problems with a Sublinear Nonlinearity	2
Dimension-Free Estimates for Maximal Functions with Nonisotropic Dilations	2
On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients	2
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents	2
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients	2
Correction to: The CMO-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	2
The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	2
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth	2
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	2
Fukushima Subspaces of Quasidiffusions	2
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	2

Rough Bilinear Hypersingular Integrals	2
Non-degeneracy and New Existence of Bubble Solutions for the Critical Fractional Hénon-type Equation	2
Positive Solutions of Schrödinger Equations in Product form and Martin Compactifications of the Plane, II	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
On M. Riesz Conjugate Function Theorem for Harmonic Functions	2
Heat Kernel Estimates of Fractional Schrödinger Operators with Hardy Potential on Half-line	2