Potential Analysis

Article	Citations
A Trace Inequality for Solenoidal Charges	43
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	19
Marcinkiewicz Estimates for Solutions of Some Elliptic Problems with Singular Data	18
Dirichlet Problem for Schrödinger Operators on Heisenberg Groups	9
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	9
On potentials of Itô’s Processes with Drift in Ld+ 1	8
Inclusion Relations Among Fractional Orlicz-Sobolev Spaces and a Littlewood-Paley Characterization	8
Fukushima Subspaces of Quasidiffusions	8
Boundary Harnack Principle on Uniform Domains	8
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	7
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	7
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	6
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	6
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	6
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	5
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	5
The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	5
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	5
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	5
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	4
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	4
Li-Yau Inequality and Related Properties on Metric Star Graphs	4
Existence and Limiting Profiles of Boosted Ground States for the Pseudo-Relativistic Schrödinger Equation with Focusing Power Type Nonlinearity	4
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	4
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	4

Capacities and Density Conditions in Metric Spaces	4
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	4
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	4
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	4
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	4
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	4
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	4
Connections and Loops Intertwinning	4
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space	3
Sobolev Spaces and Trace Theorems for Time-fractional Evolution Equations	3
Hydrodynamics of the Generalized N-urn Ehrenfest Model	3
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	3
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	3
On the Strong Liouville Property of Covering Spaces	3
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	3
Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations	3
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	3
Geometric Topics Related to Besov type Spaces on the Grushin Setting	3
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	3
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary	3
Weighted Discrete Hardy Inequalities on Trees and Applications	3
Compactness Characterizations of Commutators on Ball Banach Function Spaces	3
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	2
Harmonic Bergman Projectors on Homogeneous Trees	2
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	2
Extremal Functions for a Trudinger-Moser Inequality with a Sign-Changing Weight	2
On a Class of Nonlinear Plate Equations on Modulation Spaces	2
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields	2
Large Deviations and Gradient Flows for the Brownian One-Dimensional Hard-Rod System	2
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$	2
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	2
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	2
Sharp Trace and Korn Inequalities for Differential Operators	2
The Liouville Theorem for Discrete Symmetric Averaging Operators	2
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	2
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	2
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	2
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	2
Growth of Harmonic Mappings and Baernstein Type Inequalities	2
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	2
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	2
Edge Laplacians and Edge Poisson Transforms for Graphs	2
Rate of Convergence in the Functional Central Limit Theorem for Stable Processes	2
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients	2
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions	2
Off-Diagonal Estimates for Bilinear Commutators	2
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	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
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
Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights	2
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	2
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	2
Normal Trace for a Vector Field of Bounded Mean Oscillation	2
Averaging Principle for Multi-Scale McKean-Vlasov SPDEs with Locally Monotone Coefficients	2
Rough Bilinear Hypersingular Integrals	2
On Small Deviations of Gaussian Multiplicative Chaos with A Strictly Logarithmic Covariance on Euclidean Ball	2
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds	1
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	1
$$L^p$$-$$L^q$$ Hypergeometric Spectral and Fourier Multipliers Associated with Root Systems	1
Comparison Geometry for Integral Radial Bakry-Émery Ricci Tensor Bounds	1
A Canonical Infinitesimally Hilbertian Structure on Locally Minkowski Spaces	1
Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds	1
Maz’ya–Shaposhnikova Meet Bishop–Gromov	1
Extrapolation for Weighted Product Morrey Spaces and Some Applications	1
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares	1
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm	1
On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups	1
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form	1
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions	1
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms	1
Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function	1
Calderón–Zygmund Operators on Local Hardy Spaces	1
Diffusion Processes with One-sided Selfsimilar Random Potentials	1
Uniqueness for an Obstacle Problem Arising from Logistic-Type Equations with Fractional Laplacian	1
Endpoint Estimates for Two Operators Related to Schrödinger Operators with Inverse-square Potential	1
On Diffusion Processes with Drift in Ld+ 1	1
Fractional Derivative Description of the Bloch Space	1
An Endpoint Estimate for the Commutators of Singular Integral Operators with Rough Kernels	1
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	1
Extensions of Harmonic Functions of the Complex Plane Slit Along a Line Segment	1
Dimension-Free Estimates for Maximal Functions with Nonisotropic Dilations	1
Fine Boundary Continuity for Degenerate Double-Phase Diffusion	1
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	1
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds	1
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	1
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems	1
Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps	1
Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure	1
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise	1
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	1
Large Deviations for the Two-time Scale 2D Stochastic Electrokinetic Flow	1
Heat Kernel Asymptotics for Scaling Limits of Isoradial Graphs	1
The Weighted Hp Estimates for Commutators of Fractional Integrals	1
Lower Bounds for the Spectral Gap and an Extension of the Bonnet-Myers Theorem	1
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	1
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle	1
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts	1
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications	1
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme	1
Correction to: The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	1
Sobolev Extension on Lp-quasidisks	1
Extremal of Log-Sobolev Functionals and Li-Yau Estimate on $$\textrm{RCD}^*(K,N)$$ Spaces	1
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting	1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces	1
Itô-Wentzell-Lions Formula for Measure Dependent Random Fields under Full and Conditional Measure Flows	1
Mosco convergence of gradient forms with non-convex potentials II	1
Properties of Lipschitz Smoothing Heat Semigroups	1
Convergence of Harmonic Measures and Capacities	1
On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations	1
Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations	1
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift	1
Probabilistic Characterization of Weakly Harmonic Maps with Respect to Non-Local Dirichlet Forms	1
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	1
Corrigendum to “From $$A_1$$ to $$A_\infty $$: New Mixed Inequalities for Certain Maximal Operators”	1
Viscosity Solutions of Hamilton–Jacobi Equation in $$\textsf{RCD}(K,\infty )$$ Spaces and Applications to Large Deviations	1
On the Finite Energy Range of m-Hessian Operator	0
Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise	0
Regularizing Properties of (Non-Gaussian) Transition Semigroups in Hilbert Spaces	0
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	0
On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality	0
Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem	0
A BMO-Type Characterization of Higher Order Sobolev Spaces	0
Correction to: The CMO-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	0
Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise	0
Compact Difference of Fejér-Riesz Composition Operators	0
The Normal Contraction Property for Non-Bilinear Dirichlet Forms	0

Eigenfunctions of the Laplacian Satisfying Hardy-Type Estimates on Homogeneous Trees	0
A Discovery Tour in Random Riemannian Geometry	0
On the theory of balayage on locally compact spaces	0
Heat Kernel Estimates for Stable-driven SDEs with Distributional Drift	0
Manifolds with Density and the First Steklov Eigenvalue	0
Trace Operator on von Koch’s Snowflake	0
Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions	0
New Universal Inequalities for Eigenvalues of a Clamped Plate Problem	0
On complete Weingarten Hypersurfaces Under Assumptions on the Gauss-Kronecker Curvature	0
A Counterexample Regarding a Two-phase Problem for Harmonic Measure in VMO	0
Large Deviations of Stochastic Heat Equations with Logarithmic Nonlinearity	0
Time Regularity for Local Weak Solutions of the Heat Equation on Local Dirichlet Spaces	0
Analysis on Trees with Nondoubling Flow Measures	0
Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth	0
On the Theory of Capacities on Locally Compact Spaces and its Interaction with the Theory of Balayage	0
On the Restriction of a Right Process Outside a Negligible Set	0
Regularity of Solutions to Degenerate Normalized p-Laplacian Equation with General Variable Exponents	0
The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit	0
Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains	0
Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?	0
Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem	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
Hölder Continuity of Weak Solutions to Nonlocal Schrödinger Equations with A1-Muckenhoupt Potentials	0
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents	0
Mean Exit Times from Submanifolds with Bounded Mean Curvature	0
One-sided Measure Theoretic Elliptic Operators and Applications to SDEs Driven by Gaussian White Noise with Atomic Intensity	0
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential	0
A Small Time Approximation for the Solution to the Zakai Equation	0
Partial Balayage for the Helmholtz Equation	0
Regularity of Unconstrained p-harmonic Maps from Curved Domain and Application to critical p-Laplace Systems	0
Obstacle Problems with Double Boundary Condition for Least Gradient Functions in Metric Measure Spaces	0
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	0
Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form	0
Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property	0
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators	0
Large Deviations for an Obstacle Problem with T-monotone Operator and Multiplicative Noise	0
Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain	0
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds	0
Functional Inequalities for Two-Level Concentration	0
Existence and Uniqueness for McKean-Vlasov Equations with Singular Interactions	0
Large and Moderate Deviations for Empirical Density Fields of Stochastic Seir Epidemics with Vertex-Dependent Transition Rates	0
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $$\mathbb {R}^N$$ Via Penalization Method	0
Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions	0
Energy Spaces, Dirichlet Forms and Capacities in a Nonlinear Setting	0
On Sharp Olsen’s and Trace Inequalities for Multilinear Fractional Integrals	0
Self-shrinkers and Translating Solitons Related to the Anisotropic Mean Curvature Flow	0
Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform	0
Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension	0
Characterization of Infinitesimal $$L^p$$-Relative Boundedness of Schrödinger Operators $$(-\Delta )^\frac{\alpha }{2}+|x|^a$$	0
A Version of Hörmander’s Theorem for Markovian Rough Paths	0
p-Capacity with Bessel Convolution	0
Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations	0
Schauder Estimates for Nonlocal Equations with Singular Lévy Measures	0
Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations	0
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth	0
q-Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra	0
The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	0
Correction to: Erratum on the labeling of two papers	0
Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures	0
On M. Riesz Conjugate Function Theorem for Harmonic Functions	0
Monotonicity in Half-spaces for p-Laplace Problems with a Sublinear Nonlinearity	0
Besov Reconstruction	0
A Fourier Integral Formula for Logarithmic Energy	0
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics	0
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	0
Asymptotics, Trace, and Density Results for Weighted Dirichlet Spaces Defined on the Half-line	0
Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups	0
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data	0
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces	0
Nonlinear Dirichlet Forms Associated with Quasiregular Mappings	0
Large Deviation Principle for a Class of Stochastic Partial Differential Equations with Fully Local Monotone Coefficients Perturbed By Lévy Noise	0
Regular Subspaces of Symmetric Stable Processes	0
Higher Order Coercive Inequalities	0
Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”	0
Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel	0
Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces	0
Best Constants in Inequalities Involving Analytic and Co-Analytic Projections and Riesz’S Theorem in Various Function Spaces	0
Lie Symmetries of Fundamental Solutions to the Leutwiler-Weinstein Equation	0
Exponential Contractivity and Propagation of Chaos for Langevin Dynamics of McKean-Vlasov Type with Lévy Noises	0
Global Weighted Lorentz Estimates of Oblique Tangential Derivative Problems for Weakly Convex Fully Nonlinear Operators	0
Erratum to ‘Solutions of SPDE’s Associated with a Stochastic Flow’	0
The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness	0
On notions of p-parabolic capacity and applications	0
On the Shape of the First Fractional Eigenfunction	0
Besov-Orlicz Path Regularity of Non-Gaussian Processes	0
Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications	0
Feynman-Kac Formula for Iterated Derivatives of the Parabolic Anderson Model	0
Diameter and Laplace Eigenvalue Estimates for Left-invariant Metrics on Compact Lie Groups	0
Two-Weight Inequalities for Multilinear Commutators in Product Spaces	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
Global Existence and Mean-Field Limit for A Stochastic Interacting Particle System of Signed Coulomb Charges	0
On Gegenbauer Point Processes on the Unit Interval	0
Restoration of Well-Posedness of Infinite-Dimensional Singular ODE’s via Noise	0
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	0