Potential Analysis

Article	Citations
A Trace Inequality for Solenoidal Charges	50
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	20
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	10
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	9
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	9
Boundary Harnack Principle on Uniform Domains	8
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	8
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	7
Fukushima Subspaces of Quasidiffusions	7
On potentials of Itô’s Processes with Drift in Ld+ 1	7
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	6
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	6
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	6
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	6
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	6
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	6
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	6
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	5
Capacities and Density Conditions in Metric Spaces	5
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	5
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	5
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	5
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	5
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	4
Li-Yau Inequality and Related Properties on Metric Star Graphs	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
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
On the Strong Liouville Property of Covering Spaces	4
Boundedness Properties of the Maximal Operator in a Nonsymmetric Inverse Gaussian Setting	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
Connections and Loops Intertwinning	4
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	4
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space	3
Weighted Discrete Hardy Inequalities on Trees and Applications	3
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	3
Compactness Characterizations of Commutators on Ball Banach Function Spaces	3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	3
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	3
Definitions of Quasiconformality on Metric Surfaces	3
Hydrodynamics of the Generalized N-urn Ehrenfest Model	3
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	3
Normal Trace for a Vector Field of Bounded Mean Oscillation	3
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	3
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	3
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	3
Rough Bilinear Hypersingular Integrals	3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	3
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
Harmonic Bergman Projectors on Homogeneous Trees	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	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
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	2
Sharp Trace and Korn Inequalities for Differential Operators	2
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	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
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
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	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

Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	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
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	2
Off-Diagonal Estimates for Bilinear Commutators	2
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications	2
Probabilistic Characterization of Weakly Harmonic Maps with Respect to Non-Local Dirichlet Forms	1
Dimension-Free Estimates for Maximal Functions with Nonisotropic Dilations	1
On Diffusion Processes with Drift in Ld+ 1	1
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	1
Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function	1
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds	1
Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees	1
Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations	1
Erratum to: “Stochastic Reaction-diffusion Equations Driven by Jump Processes”	1
Large Deviations for the Two-time Scale 2D Stochastic Electrokinetic Flow	1
Sobolev Extension on Lp-quasidisks	1
Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps	1
A Canonical Infinitesimally Hilbertian Structure on Locally Minkowski Spaces	1
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations	1
Properties of Lipschitz Smoothing Heat Semigroups	1
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	1
Heat Kernel Asymptotics for Scaling Limits of Isoradial Graphs	1
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms	1
Fine Boundary Continuity for Degenerate Double-Phase Diffusion	1
Fractional Derivative Description of the Bloch Space	1
Extensions of Harmonic Functions of the Complex Plane Slit Along a Line Segment	1
Mosco convergence of gradient forms with non-convex potentials II	1
Extrapolation for Weighted Product Morrey Spaces and Some Applications	1
Large Deviations for an Obstacle Problem with T-monotone Operator and Multiplicative Noise	1
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	1
On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations	1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces	1
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	1
$$L^p$$-$$L^q$$ Hypergeometric Spectral and Fourier Multipliers Associated with Root Systems	1
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	1
Correction to: The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	1
Itô-Wentzell-Lions Formula for Measure Dependent Random Fields under Full and Conditional Measure Flows	1
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	1
Endpoint Estimates for Two Operators Related to Schrödinger Operators with Inverse-square Potential	1
Lower Bounds for the Spectral Gap and an Extension of the Bonnet-Myers Theorem	1
Diffusion Processes with One-sided Selfsimilar Random Potentials	1
Corrigendum to “From $$A_1$$ to $$A_\infty $$: New Mixed Inequalities for Certain Maximal Operators”	1
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift	1
Extremal of Log-Sobolev Functionals and Li-Yau Estimate on $$\textrm{RCD}^*(K,N)$$ Spaces	1
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	1
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form	1
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm	1
Uniqueness for an Obstacle Problem Arising from Logistic-Type Equations with Fractional Laplacian	1
A Small Time Approximation for the Solution to the Zakai Equation	1
Calderón–Zygmund Operators on Local Hardy Spaces	1
Convergence of Harmonic Measures and Capacities	1
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting	1
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise	1
Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure	1
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares	1
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme	1
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions	1
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems	1
Maz’ya–Shaposhnikova Meet Bishop–Gromov	1
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	1
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	1
On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups	1
The Weighted Hp Estimates for Commutators of Fractional Integrals	1
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds	1
The Discrete Logarithmic Minkowski Problem for Log-capacity	1
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle	1
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts	1
Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces	0
Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions	0
The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit	0
Regularity of Solutions to Degenerate Normalized p-Laplacian Equation with General Variable Exponents	0
On Gegenbauer Point Processes on the Unit Interval	0
Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions	0
Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem	0
Gaussian-type Density Bounds for Solutions to Multidimensional Backward SDEs and Application to gene Expression	0
Schauder Estimates for Nonlocal Equations with Singular Lévy Measures	0
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $$\mathbb {R}^N$$ Via Penalization Method	0

Hölder Continuity of Weak Solutions to Nonlocal Schrödinger Equations with A1-Muckenhoupt Potentials	0
The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem	0
Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem	0
A Discovery Tour in Random Riemannian Geometry	0
Correction to: Erratum on the labeling of two papers	0
Correction to: The CMO-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	0
On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality	0
The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness	0
p-Capacity with Bessel Convolution	0
Lie Symmetries of Fundamental Solutions to the Leutwiler-Weinstein Equation	0
Besov-Orlicz Path Regularity of Non-Gaussian Processes	0
Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces	0
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds	0
Compact Difference of Fejér-Riesz Composition Operators	0
An Elliptic Problem Involving Large Advection	0
Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise	0
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential	0
A Serrin’s type Problem in Weighted Manifolds: Soap Bubble Results and Rigidity in Generalized Cones	0
Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures	0
Global Existence and Mean-Field Limit for A Stochastic Interacting Particle System of Signed Coulomb Charges	0
Manifolds with Density and the First Steklov Eigenvalue	0
The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	0
Global Weighted Lorentz Estimates of Oblique Tangential Derivative Problems for Weakly Convex Fully Nonlinear Operators	0
Feynman-Kac Formula for Iterated Derivatives of the Parabolic Anderson Model	0
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents	0
Best Constants in Inequalities Involving Analytic and Co-Analytic Projections and Riesz’S Theorem in Various Function Spaces	0
A Version of Hörmander’s Theorem for Markovian Rough Paths	0
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators	0
On notions of p-parabolic capacity and applications	0
One-sided Measure Theoretic Elliptic Operators and Applications to SDEs Driven by Gaussian White Noise with Atomic Intensity	0
Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations	0
Monotonicity in Half-spaces for p-Laplace Problems with a Sublinear Nonlinearity	0
Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups	0
q-Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra	0
Long-time Behaviour of Entropic Interpolations	0
Asymptotics, Trace, and Density Results for Weighted Dirichlet Spaces Defined on the Half-line	0
Nonlinear Dirichlet Forms Associated with Quasiregular Mappings	0
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 Constraints	0
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth	0
Besov Reconstruction	0
On the Restriction of a Right Process Outside a Negligible Set	0
On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients	0
Convergence of p-Energy Forms on Homogeneous p.c.f Self-Similar Sets	0
Exponential Contractivity and Propagation of Chaos for Langevin Dynamics of McKean-Vlasov Type with Lévy Noises	0
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	0
Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form	0
Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces	0
Publisher Correction: The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	0
Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel	0
The Normal Contraction Property for Non-Bilinear Dirichlet Forms	0
Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth	0
Large and Moderate Deviations for Empirical Density Fields of Stochastic Seir Epidemics with Vertex-Dependent Transition Rates	0
A Counterexample Regarding a Two-phase Problem for Harmonic Measure in VMO	0
A Convergence Rate for Extended-Source Internal DLA in the Plane	0
Analysis on Trees with Nondoubling Flow Measures	0
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	0
Existence and Uniqueness for McKean-Vlasov Equations with Singular Interactions	0
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data	0
Self-shrinkers and Translating Solitons Related to the Anisotropic Mean Curvature Flow	0
Tails of Extinction Time and Maximal Displacement for Critical Branching Killed Lévy Process	0
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics	0
Well-Posedness and Scattering Versus Blow-up for a Hartree Equation with Aharonov-Bohm Magnetic Potential	0
Erratum to ‘Solutions of SPDE’s Associated with a Stochastic Flow’	0
Two-Weight Inequalities for Multilinear Commutators in Product Spaces	0
Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise	0
On the theory of balayage on locally compact spaces	0
Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces	0
Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property	0
Restoration of Well-Posedness of Infinite-Dimensional Singular ODE’s via Noise	0
Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications	0
On the Finite Energy Range of m-Hessian Operator	0
Large Deviation Principle for a Class of Stochastic Partial Differential Equations with Fully Local Monotone Coefficients Perturbed By Lévy Noise	0
On complete Weingarten Hypersurfaces Under Assumptions on the Gauss-Kronecker Curvature	0
On the Long-term Behavior for Sub-stationary Markov Processes	0
Characterizations of Sobolev Functions Via Besov-type Energy Functionals in Fractals	0
On Sharp Olsen’s and Trace Inequalities for Multilinear Fractional Integrals	0
Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations	0
Partial Balayage for the Helmholtz Equation	0
A Fourier Integral Formula for Logarithmic Energy	0
Space Regularity of Evolution Equations Driven by Rough Paths	0
Heat Kernel Estimates for Stable-driven SDEs with Distributional Drift	0
Weak Solutions in the Sense of Schwartz to Dynkin’s Characteristic Operator Equation	0
Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth	0
Trace Operator on von Koch’s Snowflake	0
Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains	0
Regular Subspaces of Symmetric Stable Processes	0
Mean Exit Times from Submanifolds with Bounded Mean Curvature	0
Regularity of Unconstrained p-harmonic Maps from Curved Domain and Application to critical p-Laplace Systems	0
Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”	0
A BMO-Type Characterization of Higher Order Sobolev Spaces	0
Characterization of Infinitesimal $$L^p$$-Relative Boundedness of Schrödinger Operators $$(-\Delta )^\frac{\alpha }{2}+|x|^a$$	0
On the Shape of the First Fractional Eigenfunction	0
On M. Riesz Conjugate Function Theorem for Harmonic Functions	0
New Universal Inequalities for Eigenvalues of a Clamped Plate Problem	0
Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform	0