Potential Analysis

Papers
(The median citation count of Potential Analysis is 0. 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 2021-03-01 to 2025-03-01.)
ArticleCitations
The Perron Method Associated with Finely p-harmonic Functions on Finely Open Sets39
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations17
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data16
The Normal Contraction Property for Non-Bilinear Dirichlet Forms10
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes8
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents8
On M. Riesz Conjugate Function Theorem for Harmonic Functions8
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth7
The Robin Mean Value Equation II: Asymptotic Hölder Regularity7
A Trace Inequality for Solenoidal Charges7
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators7
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data6
Sobolev-Type Inequalities on Cartan-Hadamard Manifolds and Applications to some Nonlinear Diffusion Equations6
Large Deviations for the Two-time Scale 2D Stochastic Electrokinetic Flow6
Regularizing Properties of (Non-Gaussian) Transition Semigroups in Hilbert Spaces6
Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees5
Maz’ya–Shaposhnikova Meet Bishop–Gromov5
The Weighted Hp Estimates for Commutators of Fractional Integrals5
Diffusion Processes with One-sided Selfsimilar Random Potentials5
Boundary Harnack Principle on Uniform Domains5
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces5
Strong Solutions of Stochastic Differential Equations with Coefficients in Mixed-Norm Spaces4
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift4
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting4
Asymptotic Behavior of Ground States and Local Uniqueness for Fractional Schrödinger Equations with Nearly Critical Growth4
Off-Diagonal Heat Kernel Estimates for Symmetric Diffusions in a Degenerate Ergodic Environment4
Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications4
A BMO-Type Characterization of Higher Order Sobolev Spaces4
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 14
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector4
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures3
Khavinson Problem for Hyperbolic Harmonic Mappings in Hardy Space3
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions3
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization3
$$p-$$Harmonic Functions in the Upper Half-space3
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs3
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations3
Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces3
Equivalence of Sobolev Norms with Respect to Weighted Gaussian Measures3
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains3
Optimal Extension to Sobolev Rough Paths3
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics3
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups3
Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes3
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations3
From A1 to $A_{\infty }$: New Mixed Inequalities for Certain Maximal Operators3
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms2
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation2
Extrapolation for Weighted Product Morrey Spaces and Some Applications2
Sobolev Extension on Lp-quasidisks2
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations2
Heat Kernel Estimates of Fractional Schrödinger Operators with Hardy Potential on Half-line2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients2
Monotonicity in Half-spaces for p-Laplace Problems with a Sublinear Nonlinearity2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball2
Edge Laplacians and Edge Poisson Transforms for Graphs2
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients2
A Small Time Approximation for the Solution to the Zakai Equation2
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem2
On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients2
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds2
Positive Solutions of Schrödinger Equations in Product form and Martin Compactifications of the Plane, II2
Martin Boundary of Killed Random Walks on Isoradial Graphs2
Parabolic Harnack Inequality Implies the Existence of Jump Kernel2
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions2
Correction to: The CMO-Dirichlet Problem for Elliptic Systems in the Upper Half-Space2
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
C1,α Regularity for Degenerate Fully Nonlinear Elliptic Equations with Neumann Boundary Conditions2
The Fractional Laplacian with Reflections2
The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces2
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrödinger Equation2
On potentials of Itô’s Processes with Drift in Ld+ 12
Normal Trace for a Vector Field of Bounded Mean Oscillation2
Rough Bilinear Hypersingular Integrals2
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces2
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential2
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds2
Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces2
Dimension-Free Estimates for Maximal Functions with Nonisotropic Dilations2
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth2
Non-degeneracy and New Existence of Bubble Solutions for the Critical Fractional Hénon-type Equation1
Linear Combination of Composition Operators on Bergman and Korenblum Spaces1
Stretching and Rotation of Planar Quasiconformal Mappings on a Line1
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces1
Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel1
First Dirichlet Eigenvalue and Exit Time Moment Spectra Comparisons1
Large Deviations and Gradient Flows for the Brownian One-Dimensional Hard-Rod System1
Martin Boundary of a Space-time Brownian Motion with Drift Killed at the Boundary of a Moving Cone1
Long-time Behaviour of Entropic Interpolations1
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm1
On Efficiency and Localisation for the Torsion Function1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces1
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces1
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems1
On the theory of balayage on locally compact spaces1
On $$L_{p}-$$ Theory for Integro-Differential Operators with Spatially Dependent Coefficients1
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations1
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$1
Convergence of Harmonic Measures and Capacities1
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena1
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator1
Gaussian-type Density Bounds for Solutions to Multidimensional Backward SDEs and Application to gene Expression1
On Well-posedness of Stochastic Anisotropic p-Laplace Equation Driven by Lévy Noise1
Trace Operator on von Koch’s Snowflake1
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 21
The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces1
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation1
Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise1
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds1
An Elliptic Problem Involving Large Advection1
Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications1
The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem1
Besov Reconstruction1
Log-Hessian and Deviation Bounds for Markov Semi-Groups, and Regularization Effect in $\mathbb {L}^{1}$1
Fukushima Subspaces of Quasidiffusions1
Off-Diagonal Estimates for Bilinear Commutators1
Nonlinear Inequalities with Double Riesz Potentials1
Estimates of Poisson Kernels for Symmetric Lévy Processes and Their Applications1
On complete Weingarten Hypersurfaces Under Assumptions on the Gauss-Kronecker Curvature1
The non-Radial Focusing Inhomogeneous Coupled Schrödinger Systems in Three Space Dimensions1
An Averaging Principle for Stochastic Flows and Convergence of Non-Symmetric Dirichlet Forms1
Large Intersection Property for Limsup Sets in Metric Space1
The Random Normal Matrix Model: Insertion of a Point Charge1
Large and Moderate Deviations for Empirical Density Fields of Stochastic Seir Epidemics with Vertex-Dependent Transition Rates1
Higher Order Coercive Inequalities1
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems1
Fractional Leibniz-type Rules on Spaces of Homogeneous Type1
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups1
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme1
A Fourier Integral Formula for Logarithmic Energy1
A Canonical Infinitesimally Hilbertian Structure on Locally Minkowski Spaces1
Heat Flow and Concentration of Measure on Directed Graphs with a Lower Ricci Curvature Bound0
Regular Subspaces of Symmetric Stable Processes0
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces0
Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations0
On Sharp Olsen’s and Trace Inequalities for Multilinear Fractional Integrals0
Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise0
The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness0
Compactness Characterizations of Commutators on Ball Banach Function Spaces0
Dual Spaces for Weak Martingale Hardy Spaces Associated with Rearrangement-Invariant Spaces0
Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces0
Weighted Discrete Hardy Inequalities on Trees and Applications0
q-Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra0
On the Theory of Capacities on Locally Compact Spaces and its Interaction with the Theory of Balayage0
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces0
On the Restriction of a Right Process Outside a Negligible Set0
Feynman-Kac Formula for Iterated Derivatives of the Parabolic Anderson Model0
Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property0
Harmonic Bergman Projectors on Homogeneous Trees0
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds0
Nonlinear Dirichlet Forms Associated with Quasiregular Mappings0
The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit0
Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem0
Calderón–Zygmund Operators on Local Hardy Spaces0
INLS Equation with Hartree Type0
Generalized Superharmonic Functions with Strongly Nonlinear Operator0
Quantitative Estimates for Square Functions with New Class of Weights0
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise0
Hydrodynamics of the Generalized N-urn Ehrenfest Model0
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces0
Convergence of p-Energy Forms on Homogeneous p.c.f Self-Similar Sets0
On the Strong Liouville Property of Covering Spaces0
Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions0
Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth0
Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations0
Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension0
Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures0
Capacities and Density Conditions in Metric Spaces0
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle0
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications0
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS0
Tug-of-War Games Related to Oblique Derivative Boundary Value Problems with the Normalized p-Laplacian0
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap0
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates0
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts0
Large Deviations of Stochastic Heat Equations with Logarithmic Nonlinearity0
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition0
On the Shape of the First Fractional Eigenfunction0
Manifolds with Density and the First Steklov Eigenvalue0
On Lp-boundedness of Fourier Integral Operators0
Heat Kernel Estimates for Stable-driven SDEs with Distributional Drift0
Hölder Continuity of Weak Solutions to Nonlocal Schrödinger Equations with A1-Muckenhoupt Potentials0
Nonlinear Semigroups Built on Generating Families and their Lipschitz Sets0
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds0
On the Torsion Function for Simply Connected, Open Sets in $$\mathbb {R}^2$$0
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator0
Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry0
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results0
Itô-Wentzell-Lions Formula for Measure Dependent Random Fields under Full and Conditional Measure Flows0
Time Regularity for Local Weak Solutions of the Heat Equation on Local Dirichlet Spaces0
An Area Theorem for Joint Harmonic Functions on the Product of Homogeneous Trees0
Geometric Topics Related to Besov type Spaces on the Grushin Setting0
Restoration of Well-Posedness of Infinite-Dimensional Singular ODE’s via Noise0
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise0
Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights0
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces0
Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups0
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration0
Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds0
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space0
Li-Yau Inequality and Related Properties on Metric Star Graphs0
p-Capacity with Bessel Convolution0
Heat Kernels for a Class of Hybrid Evolution Equations0
Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”0
Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem0
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $$\mathbb {R}^N$$ Via Penalization Method0
A Version of Hörmander’s Theorem for Markovian Rough Paths0
On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality0
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces0
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions0
Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form0
Fractional Derivative Description of the Bloch Space0
The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space0
Existence and Uniqueness for McKean-Vlasov Equations with Singular Interactions0
On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations0
Weighted Poincaré Inequalities and Degenerate Elliptic and Parabolic Problems: An Approach via the Distance Function0
Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth0
Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform0
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End0
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds0
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions0
Functional Inequalities for Two-Level Concentration0
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian0
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates0
Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function0
The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces0
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary0
Higher Order Terms of the Spectral Heat Content for Killed Subordinate and Subordinate Killed Brownian Motions Related to Symmetric α-Stable Processes in ${\mathbb {R}}$0
The $$\textrm{CMO}$$-Dirichlet Problem for Elliptic Systems in the Upper Half-Space0
A Convergence Rate for Extended-Source Internal DLA in the Plane0
Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps0
Diameter and Laplace Eigenvalue Estimates for Left-invariant Metrics on Compact Lie Groups0
Large Deviation Principle for a Class of Stochastic Partial Differential Equations with Fully Local Monotone Coefficients Perturbed By Lévy Noise0
Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform0
A Discovery Tour in Random Riemannian Geometry0
Equivalence of Subcritical and Critical Adams Inequalities in $W^{m,2}(\mathbb {R}^{2m})$ and Existence and Non-existence of Extremals for Adams Inequalities under Inhomogeneous Constraints0
Mean Exit Times from Submanifolds with Bounded Mean Curvature0
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms0
Boundedness of Operators Related to a Degenerate Schrödinger Semigroup0
Publisher Correction: The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces0
An Endpoint Estimate for the Commutators of Singular Integral Operators with Rough Kernels0
Lower Bounds for the Spectral Gap and an Extension of the Bonnet-Myers Theorem0
Trace and Density Results on Regular Trees0
Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces0
Exponential Contractivity and Propagation of Chaos for Langevin Dynamics of McKean-Vlasov Type with Lévy Noises0
Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains0
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