Potential Analysis

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
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	2
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	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
Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms	2
Fukushima Subspaces of Quasidiffusions	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
A Small Time Approximation for the Solution to the Zakai Equation	1
The non-Radial Focusing Inhomogeneous Coupled Schrödinger Systems in Three Space Dimensions	1
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm	1
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	1
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces	1
Comparison Geometry for Integral Radial Bakry-Émery Ricci Tensor Bounds	1
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	1
Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure	1
Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form	1
On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality	1
A Bakry-Émery Approach to Lipschitz Transportation on Manifolds	1
On Efficiency and Localisation for the Torsion Function	1
An Elliptic Problem Involving Large Advection	1
The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem	1
Log-Hessian and Deviation Bounds for Markov Semi-Groups, and Regularization Effect in $\mathbb {L}^{1}$	1
Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise	1
Large and Moderate Deviations for Empirical Density Fields of Stochastic Seir Epidemics with Vertex-Dependent Transition Rates	1
Besov Reconstruction	1
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	1
Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications	1
Fractional Leibniz-type Rules on Spaces of Homogeneous Type	1
Heat Kernel Estimates for Stable-driven SDEs with Distributional Drift	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 Deviations of Stochastic Heat Equations with Logarithmic Nonlinearity	1
Estimates of Poisson Kernels for Symmetric Lévy Processes and Their Applications	1
INLS Equation with Hartree Type	1
A Fourier Integral Formula for Logarithmic Energy	1
Convergence of Harmonic Measures and Capacities	1
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	1
Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme	1
Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations	1
On $$L_{p}-$$ Theory for Integro-Differential Operators with Spatially Dependent Coefficients	1
Extrapolation for Weighted Product Morrey Spaces and Some Applications	1
On Well-posedness of Stochastic Anisotropic p-Laplace Equation Driven by Lévy Noise	1
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	1
On the theory of balayage on locally compact spaces	1
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	1
On complete Weingarten Hypersurfaces Under Assumptions on the Gauss-Kronecker Curvature	1
Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain	1
Dual Spaces for Weak Martingale Hardy Spaces Associated with Rearrangement-Invariant Spaces	1
Publisher Correction: The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	1
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	1
On a Class of Nonlinear Plate Equations on Modulation Spaces	1
Weighted Poincaré Inequalities and Degenerate Elliptic and Parabolic Problems: An Approach via the Distance Function	1
The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space	1
The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces	1
Lie Symmetries of Fundamental Solutions to the Leutwiler-Weinstein Equation	1
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	1
The $$\textrm{CMO}$$-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	1
Convergence of p-Energy Forms on Homogeneous p.c.f Self-Similar Sets	0
On the Theory of Capacities on Locally Compact Spaces and its Interaction with the Theory of Balayage	0
Tug-of-War Games Related to Oblique Derivative Boundary Value Problems with the Normalized p-Laplacian	0
q-Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra	0
Convergence of Processes Time-Changed by Gaussian Multiplicative Chaos	0
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	0
One-sided Measure Theoretic Elliptic Operators and Applications to SDEs Driven by Gaussian White Noise with Atomic Intensity	0
Corrigendum to “Asymptotics for the Unconstrained Polarization (Chebyshev) Problem”	0
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS	0
Lower Bounds for the Spectral Gap and an Extension of the Bonnet-Myers Theorem	0
Hölder Continuity of Weak Solutions to Nonlocal Schrödinger Equations with A1-Muckenhoupt Potentials	0
Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations	0
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition	0
The Random Normal Matrix Model: Insertion of a Point Charge	0
On Gegenbauer Point Processes on the Unit Interval	0
Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures	0
Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations	0
Diameter and Laplace Eigenvalue Estimates for Left-invariant Metrics on Compact Lie Groups	0
First Dirichlet Eigenvalue and Exit Time Moment Spectra Comparisons	0
Nonlinear Inequalities with Double Riesz Potentials	0
Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth	0
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications	0
An Averaging Principle for Stochastic Flows and Convergence of Non-Symmetric Dirichlet Forms	0
Boundedness of Operators Related to a Degenerate Schrödinger Semigroup	0

The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness	0
Weighted Discrete Hardy Inequalities on Trees and Applications	0
Manifolds with Density and the First Steklov Eigenvalue	0
Large Intersection Property for Limsup Sets in Metric Space	0
Feynman-Kac Formula for Iterated Derivatives of the Parabolic Anderson Model	0
An Area Theorem for Joint Harmonic Functions on the Product of Homogeneous Trees	0
Differentiability of the Nonlocal-to-local Transition in Fractional Poisson Problems	0
Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces	0
A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces	0
Capacities and Density Conditions in Metric Spaces	0
Quantitative Estimates for Square Functions with New Class of Weights	0
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary	0
Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights	0
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	0
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	0
Compactness Characterizations of Commutators on Ball Banach Function Spaces	0
Weak Universality of the Dynamical ${{\Phi }_{3}^{4}}$ Model on the Whole Space	0
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	0
Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains	0
Harmonic Bergman Projectors on Homogeneous Trees	0
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds	0
Heat Kernels for a Class of Hybrid Evolution Equations	0
Hydrodynamics of the Generalized N-urn Ehrenfest Model	0
Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps	0
Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds	0
Off-Diagonal Estimates for Bilinear Commutators	0
Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension	0
Functional Inequalities for Two-Level Concentration	0
p-Capacity with Bessel Convolution	0
On the Restriction of a Right Process Outside a Negligible Set	0
The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	0
Heat Flow and Concentration of Measure on Directed Graphs with a Lower Ricci Curvature Bound	0
Regular Subspaces of Symmetric Stable Processes	0
Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function	0
Gaussian-type Density Bounds for Solutions to Multidimensional Backward SDEs and Application to gene Expression	0
Fine Boundary Continuity for Degenerate Double-Phase Diffusion	0
A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	0
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions	0
The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit	0
Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms	0
Trace Operator on von Koch’s Snowflake	0
Nonlinear Semigroups Built on Generating Families and their Lipschitz Sets	0
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results	0
Martin Boundary of a Space-time Brownian Motion with Drift Killed at the Boundary of a Moving Cone	0
Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions	0
Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise	0
Higher Order Coercive Inequalities	0
Calderón–Zygmund Operators on Local Hardy Spaces	0
A Discovery Tour in Random Riemannian Geometry	0
Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces	0
Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups	0
Exponential Contractivity and Propagation of Chaos for Langevin Dynamics of McKean-Vlasov Type with Lévy Noises	0
Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform	0
Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End	0
Mean Exit Times from Submanifolds with Bounded Mean Curvature	0
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	0
Geometric Topics Related to Besov type Spaces on the Grushin Setting	0
Li-Yau Inequality and Related Properties on Metric Star Graphs	0
Large Deviation Principle for a Class of Stochastic Partial Differential Equations with Fully Local Monotone Coefficients Perturbed By Lévy Noise	0
On the Torsion Function for Simply Connected, Open Sets in $$\mathbb {R}^2$$	0
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $$\mathbb {R}^N$$ Via Penalization Method	0
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds	0
Characterization of Infinitesimal $$L^p$$-Relative Boundedness of Schrödinger Operators $$(-\Delta )^\frac{\alpha }{2}+|x|^a$$	0
Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces	0
On the Shape of the First Fractional Eigenfunction	0
Restoration of Well-Posedness of Infinite-Dimensional Singular ODE’s via Noise	0
Long-time Behaviour of Entropic Interpolations	0
Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem	0
On Sharp Olsen’s and Trace Inequalities for Multilinear Fractional Integrals	0
An Endpoint Estimate for the Commutators of Singular Integral Operators with Rough Kernels	0
On the Strong Liouville Property of Covering Spaces	0
Large Deviations and Gradient Flows for the Brownian One-Dimensional Hard-Rod System	0
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators	0
Calderón-Zygmund Decomposition, Hardy Spaces Associated with Operators and Weak Type Estimates	0
A Version of Hörmander’s Theorem for Markovian Rough Paths	0
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	0
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts	0
Logarithmic Sobolev Inequalities for Non-equilibrium Steady States	0
Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces	0
Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform	0
A Convergence Rate for Extended-Source Internal DLA in the Plane	0
Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel	0
A Serrin’s type Problem in Weighted Manifolds: Soap Bubble Results and Rigidity in Generalized Cones	0
Hoeffding’s Inequality for Continuous-time Markov Chains Via the Spectral Gap	0
Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation	0
Fractional Derivative Description of the Bloch Space	0
Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem	0
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	0
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise	0
Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property	0
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	0
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle	0
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	0
On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations	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