Journal of Geometric Analysis

Papers
(The median citation count of Journal of Geometric 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Semiclassical States for Coupled Nonlinear Schrödinger System with Competing Potentials51
Multiplicity and Concentration of Positive Solutions for Fractional Unbalanced Double-Phase Problems39
Existence and Asymptotics of Normalized Ground States for a Sobolev Critical Kirchhoff Equation36
Solutions with Sign Information for Noncoercive Double Phase Equations26
Normalized Solutions for the Schrödinger Equations with $$L^2$$-Subcritical Growth and Different Types of Potentials22
New Ball Campanato-Type Function Spaces and Their Applications21
Martingale Musielak–Orlicz–Lorentz Hardy Spaces with Applications to Dyadic Fourier Analysis21
Fractional Non-linear Regularity, Potential and Balayage19
Weighted Fréchet–Kolmogorov Theorem and Compactness of Vector-Valued Multilinear Operators19
Weak Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Decompositions, Real Interpolation, and Calderón–Zygmund Operators19
A Review on Multifractal Analysis of Hewitt–Stromberg Measures16
Regularity Theory for Mixed Local and Nonlocal Parabolic p-Laplace Equations14
Normalized Ground State Solutions of Nonlinear Schrödinger Equations Involving Exponential Critical Growth14
On Symmetric Solutions for (p, q)-Laplacian Equations in $${\mathbb {R}}^N$$ with Critical Terms14
Global Regularity Results for Non-homogeneous Growth Fractional Problems13
Existence and Multiplicity of Bound State Solutions to a Kirchhoff Type Equation with a General Nonlinearity13
Normalized Solutions of Nonlinear Schrödinger Equations with Potentials and Non-autonomous Nonlinearities13
Positive Solutions for Singular Anisotropic (p, q)-Equations12
Normalized Ground States for the Critical Fractional Choquard Equation with a Local Perturbation12
Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds11
Normalized Solutions for a Critical Hartree Equation with Perturbation11
Sampling the Flow of a Bandlimited Function11
On a Coupled Schrödinger System with Stein–Weiss Type Convolution Part11
Quantum Graphs as Quantum Relations11
Classification of Solutions to Mixed Order Conformally Invariant Systems in $${\mathbb {R}}^2$$10
Locally Strongly Convex Affine Hypersurfaces with Semi-parallel Cubic Form9
On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity9
Non-Nehari Manifold Method for Hamiltonian Elliptic System with Hardy Potential: Existence and Asymptotic Properties of Ground State Solution9
Reversing a Philosophy: From Counting to Square Functions and Decoupling9
A Study of One-Sided Singular Integral and Function Space via Reproducing Formula8
Total Curvature and the Isoperimetric Inequality in Cartan–Hadamard Manifolds8
$$L^{1}$$ Metric Geometry of Potentials with Prescribed Singularities on Compact Kähler Manifolds8
Asymptotics and Confluence for Some Linear q-Difference–Differential Cauchy Problem8
Existence of a Ground-State and Infinitely Many Homoclinic Solutions for a Periodic Discrete System with Sign-Changing Mixed Nonlinearities8
Ground State Sign-Changing Solutions for Critical Schrödinger–Poisson System with Steep Potential Well8
Bi-Hölder Extensions of Quasi-isometries on Complex Domains8
p-Bessel Pairs, Hardy’s Identities and Inequalities and Hardy–Sobolev Inequalities with Monomial Weights8
Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation8
Asymptotic Stability of Explicit Blowup Solutions for Three-Dimensional Incompressible Magnetohydrodynamics Equations8
Laplace and Steklov Extremal Metrics via n-Harmonic Maps8
Isoperimetric Upper Bound for the First Eigenvalue of Discrete Steklov Problems8
Infinitesimal Hilbertianity of Locally $$\mathrm{CAT}(\kappa )$$-Spaces8
Remarks on ‘Norm Estimates of the Partial Derivatives for Harmonic Mappings and Harmonic Quasiregular Mappings’7
Median-Type John–Nirenberg Space in Metric Measure Spaces7
Double Extensions on Riemannian Ricci Nilsolitons7
Ground States for Logarithmic Schrödinger Equations on Locally Finite Graphs7
The Haar System in Triebel–Lizorkin Spaces: Endpoint Results7
The p-Weil–Petersson Teichmüller Space and the Quasiconformal Extension of Curves7
On Superorthogonality7
Magnetic Jacobi Fields in 3-Dimensional Sasakian Space Forms7
Hardy–Littlewood–Sobolev Inequality on Mixed-Norm Lebesgue Spaces7
The Harmonicity of Slice Regular Functions7
Symmetric Spaces Rolling on Flat Spaces7
Stability of Compact Symmetric Spaces7
Geometric Aspects of Shape Optimization7
$$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups7
A Fundamental Condition for Harmonic Analysis in Anisotropic Generalized Orlicz Spaces7
Manifolds with $$4\frac{1}{2}$$-Positive Curvature Operator of the Second Kind7
An Infinite Sequence of Localized Semiclassical States for Nonlinear Maxwell–Dirac System6
Almost Non-negative Scalar Curvature on Riemannian Manifolds Conformal to Tori6
Absolute Continuity of the Harmonic Measure on Low Dimensional Rectifiable Sets6
Mountain-Pass Type Solutions for the Chern–Simons–Schrödinger Equation with Zero Mass Potential and Critical Exponential Growth6
Existence and Stability of Normalized Solutions for Nonlocal Double Phase Problems6
The Fine Structure of the Spectral Theory on the S-Spectrum in Dimension Five6
Subsets of Positive and Finite $$\Psi _t$$-Hausdorff Measures and Applications6
Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum6
Grand Morrey Spaces and Grand Hardy–Morrey Spaces on Euclidean Space6
Global Existence and Large Time Behavior of Strong Solutions for 3D Nonhomogeneous Heat-Conducting Magnetohydrodynamic Equations6
Sharp Steklov Upper Bound for Submanifolds of Revolution6
Non-density of Points of Small Arithmetic Degrees6
Soliton Solutions for Quasilinear Schrödinger Equations Involving Convolution and Critical Nonlinearities6
On the Caloric Functions with BMO Traces and Their Limiting Behaviors6
The First p-Widths of the Unit Disk6
Hardy’s Identities and Inequalities on Cartan-Hadamard Manifolds6
Normalized Solutions of Mass Subcritical Fractional Schrödinger Equations in Exterior Domains6
Towers of Bubbles for Yamabe-Type Equations and for the Brézis–Nirenberg Problem in Dimensions $$n \ge 7$$6
Sharpened Trudinger–Moser Inequalities on the Euclidean Space and Heisenberg Group6
Shape Perturbation of Grushin Eigenvalues6
Slice Fueter-Regular Functions6
Global Well-Posedness and Exponential Decay of 2D Nonhomogeneous Navier–Stokes and Magnetohydrodynamic Equations with Density-Dependent Viscosity and Vacuum6
Fredholm Toeplitz Operators on Doubling Fock Spaces5
Non-tangential Burns-Krantz Rigidity5
Semiclassical States of Fractional Choquard Equations with Exponential Critical Growth5
Gromov Hyperbolicity, John Spaces, and Quasihyperbolic Geodesics5
Para-linearity as the Nonassociative Counterpart of Linearity5
The Prescribed Chern Scalar Curvature Problem5
Min–Max Theory for G-Invariant Minimal Hypersurfaces5
Reproducing Kernels of Some Weighted Bergman Spaces5
On Fractional Musielak–Sobolev Spaces and Applications to Nonlocal Problems5
Non-linear Hopf Manifolds are Locally Conformally Kähler5
Sharp Lower Bound for the First Eigenvalue of the Weighted p-Laplacian I5
On the Spectra of Three Steklov Eigenvalue Problems on Warped Product Manifolds5
Generalized Chern–Simons–Schrödinger System with Sign-Changing Steep Potential Well: Critical and Subcritical Exponential Case5
The maximum diam theorem on Finsler manifolds5
Animal Shapes, Modal Analysis, and Visualization of Motion (I): Horse and Camel5
Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group5
Quantitative Localization and Comparison of Invariant Distances of Domains in $$\mathbb C^n$$5
Towards Optimal Gradient Bounds for the Torsion Function in the Plane5
Existence of Solutions for a Critical Choquard–Kirchhoff Problem with Variable Exponents5
A New Quaternion Hyper-Complex Space with Hyper Argument and Basic Functions via Quaternion Dynamic Equations5
Existence of Normalized Positive Solutions for a Class of Nonhomogeneous Elliptic Equations5
The Fundamental Solution to $$\Box _b$$ on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$5
Large Perturbations of a Magnetic System with Stein–Weiss Convolution Nonlinearity5
Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions5
Singular Anisotropic Problems with Competition Phenomena5
On the Geodesic Orbit Property for Lorentz Manifolds5
Extremal Kähler Metrics Induced by Finite or Infinite-Dimensional Complex Space Forms5
Non-degeneracy of Positive Solutions for Fractional Kirchhoff Problems: High Dimensional Cases5
Isoperimetric Clusters in Homogeneous Spaces via Concentration Compactness5
Lusin-Type Properties of Convex Functions and Convex Bodies5
Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane4
Nonlinear Nonhomogeneous Obstacle Problems with Multivalued Convection Term4
Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces4
Sharp Inequalities for Maximal Operators on Finite Graphs4
On a Class of Quasi-Einstein Finsler Metrics4
Bi-Hölder Extensions of Quasi-isometries on Pseudoconvex Domains of Finite Type in $${\mathbb {C}}^2$$4
Existence of Smooth Even Solutions to the Dual Orlicz–Minkowski Problem4
Existence of Non-symmetric Solutions to the Gaussian Minkowski Problem4
Ruled Real Hypersurfaces in the Complex Quadric4
A Kirchhoff Type Equation in $$\pmb {\mathbb {R}}^{N}$$ Involving the fractional (p, q)-Laplacian4
Uniqueness of Curvature Measures in Pseudo-Riemannian Geometry4
Homoclinic Solutions for Partial Difference Equations with Mixed Nonlinearities4
Quantitative Weighted Estimates for Some Singular Integrals Related to Critical Functions4
$$(\alpha ,\beta )$$-Metrics Satisfying the T-Condition or the $$\sigma T$$-Condition4
Weak Slice Regular Functions on the n-Dimensional Quadratic Cone of Octonions4
Geometric Invariants of Spectrum of the Navier–Lamé Operator4
Uniqueness Results for Free Boundary Minimal Hypersurfaces in Conformally Euclidean Balls and Annular Domains4
Existence of Multi-bump Solutions for the Magnetic Schrödinger–Poisson System in $$\pmb {{\mathbb {R}}}^{3}$$4
Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights4
Bourgain–Brezis–Mironescu Approach in Metric Spaces with Euclidean Tangents4
The General Dual-Polar Orlicz–Minkowski Problem4
Global Axisymmetric Solutions to the 3D MHD Equations with Nonzero Swirl4
Toeplitz Operators on Weighted Bergman Spaces Induced by a Class of Radial Weights4
Martingale Hardy Spaces and Some New Weighted Maximal Operators of Fejér Means of Walsh–Fourier Series4
A Zoo of Dualities4
The First Eigenvalue of a Homogeneous CROSS4
On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter4
Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-homogeneous Poisson Structures4
Asymptotic Expansion at Infinity of Solutions of Special Lagrangian Equations4
A Differential Perspective on Gradient Flows on $$\textsf {CAT} (\kappa )$$-Spaces and Applications4
Existence and Asymptotic Behavior of Localized Nodal Solutions for a Class of Kirchhoff-Type Equations4
Weighted Variable Hardy Spaces Associated with Para-Accretive Functions and Boundedness of Calderón–Zygmund Operators4
Critical Schrödinger–Bopp–Podolsky System with Prescribed Mass4
Harnack Inequality for Mixed Local and Nonlocal Parabolic p-Laplace Equations4
Symmetry in Fourier Analysis: Heisenberg Group to Stein–Weiss Integrals4
Nonlocal Double Phase Complementarity Systems with Convection Term and mixed Boundary Conditions4
Volume Growth Estimates of Gradient Ricci Solitons4
The Existence of Normalized Solutions to the Kirchhoff Equation with Potential and Sobolev Critical Nonlinearities4
The Structure of Geodesic Orbit Lorentz Nilmanifolds4
Diederich–Fornæss and Steinness Indices for Abstract CR Manifolds4
Two Normalized Solutions for the Chern–Simons–Schrödinger System with Exponential Critical Growth4
Lions-Type Properties for the p-Laplacian and Applications to Quasilinear Elliptic Equations4
Neumann Eigenvalues of the Biharmonic Operator on Domains: Geometric Bounds and Related Results4
Talenti’s Comparison Theorem for Poisson Equation and Applications on Riemannian Manifold with Nonnegative Ricci Curvature4
Some Inequalities and Applications of Simons’ Type Formulas in Riemannian, Affine, and Statistical Geometry4
On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature4
Existence of a Sign-Changing Weak Solution to Doubly Nonlinear Parabolic Equations4
Existence of an Effective Burning Velocity in a Cellular Flow for the Curvature G-Equation Proved Using a Game Analysis4
The CMO-Dirichlet Problem for the Schrödinger Equation in the Upper Half-Space and Characterizations of CMO4
Generalized Gelfand Pairs Associated to m-Step Nilpotent Lie Groups4
Curve Flows with a Global Forcing Term4
Monotonicity Formulas for Harmonic Functions in $$\textrm{RCD}(0,N)$$ Spaces3
On Triharmonic Hypersurfaces in Space Forms3
A Quantification of a Besicovitch Non-linear Projection Theorem via Multiscale Analysis3
Uniform $$l^2$$-Decoupling in $$\mathbb R^2$$ for Polynomials3
Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces $$\mathbf{SU} (n)/\mathbf{SO} (n)$$, $$\mathbf{Sp} (n)/\mathbf{U} (n)$$, $$\mathbf{SO} (2n)/\mathbf{U} (n)$$, $$\mathbf{SU} (2n)3
Positive Semidefinite Analytic Functions on Real Analytic Surfaces3
Poincaré Inequality on Subanalytic Sets3
Characterization of Fractional Sobolev–Poincaré and (Localized) Hardy Inequalities3
Moduli of Doubly Connected Domains Under Univalent Harmonic Maps3
Einstein-Type Structures, Besse’s Conjecture, and a Uniqueness Result for a $$\varphi $$-CPE Metric in Its Conformal Class3
Existence and Stability of Standing Waves for the Mixed Dispersion Nonlinear Schrödinger Equation with a Partial Confinement in $${\mathbb {R}}^{N}$$3
$$S^1$$-Invariant Laplacian Flow3
Multiplicity of Solution for Some Classes of Prescribed Mean Curvature Equation with Dirichlet Boundary Condition3
Kissing Numbers and the Centered Maximal Operator3
Transnormal Functions and Focal Varieties on Finsler Manifolds3
Rigidity of Proper Holomorphic Maps Among Generalized Balls with Levi-Degenerate Boundaries3
Volumes Spanned by k-Point Configurations in $${\mathbb {R}}^d$$3
On Singular Yamabe Obstructions3
Nonlinear Conditions for Ultradifferentiability3
On the Morse Index with Constraints for Capillary Surfaces3
Nodal Multi-peak Standing Waves of Fourth-Order Schrödinger Equations with Mixed Dispersion3
Marcinkiewicz–Zygmund Inequalities for Polynomials in Bergman and Hardy Spaces3
Some Remarks on the Mikhlin–Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement3
Fractional Kirchhoff–Choquard equation involving Schrödinger term and upper critical exponent3
Commutators of Cauchy–Fantappiè Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids3
Intermediate Ricci Curvatures and Gromov’s Betti number bound3
On the Curvature of the Bismut Connection: Bismut–Yamabe Problem and Calabi–Yau with Torsion Metrics3
Geodesic Random Walks, Diffusion Processes and Brownian Motion on Finsler Manifolds3
Fully Non-linear Elliptic Equations on Compact Manifolds with a Flat Hyperkähler Metric3
Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces3
Existence of (Dirac-)harmonic Maps from Degenerating (Spin) Surfaces3
Global Gradient Estimates for a General Type of Nonlinear Parabolic Equations3
Concavity Property of Minimal $$L^2$$ Integrals with Lebesgue Measurable Gain V–Fibrations Over Open Riemann Surfaces3
Singular Integrals and Hardy Type Spaces for the Inverse Gauss Measure3
Existence of High Energy-Positive Solutions for a Class of Elliptic Equations in the Hyperbolic Space3
Potential Characterizations of Geodesic Balls on Hyperbolic Spaces: A Moving Plane Approach3
Stability for a Class of Extensible Beams with Degenerate Nonlocal Damping3
Normalized Solutions of Mass Supercritical Kirchhoff Equation with Potential3
Stability, Analytic Stability for Real Reductive Lie Groups3
Calderón–Zygmund Operators and Commutators on Weighted Lorentz Spaces3
Existence and Nonexistence of Solutions for Schrödinger–Poisson Problems3
An Atomic Representation for Hardy Classes of Solutions to Nonhomogeneous Cauchy–Riemann Equations3
Normalized Solutions for Schrödinger System with Subcritical Sobolev Exponent and Combined Nonlinearities3
Scattering Theory for the Charged Klein–Gordon Equation in the Exterior De Sitter–Reissner–Nordström Spacetime3
Rigidity of Homogeneous Holomorphic $$S^2$$ in a Complex Grassmann Manifold G(2, N)3
Unitary Group Orbits Versus Groupoid Orbits of Normal Operators3
Indefinite Nilsolitons and Einstein Solvmanifolds3
Strongly Pseudo-Effective and Numerically Flat Reflexive Sheaves3
Global Smooth Solutions to the 3D Compressible Viscous Non-Isentropic Magnetohydrodynamic Flows Without Magnetic Diffusion3
Liouville Theorem for Heat Equation Along Ancient Super Ricci Flow Via Reduced Geometry3
A Note on the Critical Laplace Equation and Ricci Curvature3
Stability of Eigenvalues and Observable Diameter in RCD$$(1, \infty )$$ Spaces3
The Hartogs Extension Phenomenon in Toric Varieties3
Relative Ding Stability and an Obstruction to the Existence of Mabuchi Solitons3
Rigidity of Symplectic Translating Solitons3
Representations for the Bloch Type Semi-norm of Fréchet Differentiable Mappings3
Toeplitz Operators on CR Manifolds and Group Actions3
Energy Decay for Wave Equation of Variable Coefficients with Dynamic Boundary Conditions and Time-Varying Delay3
(p, q)-John Ellipsoids3
Stability of the Non-abelian X-ray Transform in Dimension $$\ge 3$$3
Uniformization with Infinitesimally Metric Measures3
On the Variable Exponent Riemann Boundary Value Problem for Liapunov Open Curve3
On Nonlocal Choquard System with Hardy–Littlewood–Sobolev Critical Exponents3
Logarithmic Sobolev-Type Inequalities on Lie Groups3
Sharp Critical and Subcritical Trace Trudinger–Moser and Adams Inequalities on the Upper Half-Spaces3
Schwarz Lemma: The Case of Equality and an Extension3
Existence and Concentration Results for the General Kirchhoff-Type Equations3
On the Mean Convexity of a Space-and-Time Neighborhood of Generic Singularities Formed by Mean Curvature flow3
On Rectifiable Measures in Carnot Groups: Existence of Density3
A Heintze–Karcher-Type Inequality for Hypersurfaces with Capillary Boundary3
Lipschitz Clustering in Metric Spaces3
Submersion and Homogeneous Spray Geometry3
The Isoperimetric Problem for Regular and Crystalline Norms in $${\mathbb {H}}^1$$3
Area-Minimizing Cones Over Grassmannian Manifolds3
The Case of Equality for the Spacetime Positive Mass Theorem3
Improved Lower Bounds of Analytic Radius for the Benjamin–Bona–Mahony Equation3
Unexpected Behaviour of Flag and S-Curvatures on the Interpolated Poincaré Metric3
Geometry of Measures in Random Systems with Complete Connections3
The $$\infty $$-Elastica Problem on a Riemannian Manifold3
Multiplicity of Concentrating Solutions for Choquard Equation with Critical Growth3
Global Existence and Full Convergence of the Möbius-Invariant Willmore Flow in the 3-Sphere2
On the Completeness of Some Bianchi Type A and Related Kähler–Einstein Metrics2
$$L^p(\mathbb {R}^d)$$ Boundedness for the Calderón Commutator with Rough Kernel2
From Weak-type Weighted Inequality to Pointwise Estimate for the Decreasing Rearrangement2
$$L^2$$-Normalized Solitary Wave Solutions of a Nonlinear Dirac Equation2
Rigidity of Einstein Metrics as Critical Points of Some Quadratic Curvature Functionals on Complete Manifolds2
Local Riesz Transform and Local Hardy Spaces on Riemannian Manifolds with Bounded Geometry2
Lipschitz Normally Embedded Set and Tangent Cones at Infinity2
Proper Holomorphic Maps in Euclidean Spaces Avoiding Unbounded Convex Sets2
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