OOIR: Observatory of International Research

Papers

(The median citation count of Advanced Nonlinear Studies is 2. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions	40
Ground State Solutions for the Nonlinear Schrödinger–Bopp–Podolsky System with Critical Sobolev Exponent	24
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝⁿ	20
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument	18
Hardy–Adams Inequalities on ℍ² × ℝ^n-2	15
Anisotropic ?-Laplacian Evolution of Fast Diffusion Type	15
Liouville Theorems for Fractional Parabolic Equations	15
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition	13
Sharp Hardy Identities and Inequalities on Carnot Groups	12
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus	11
On a Singular Robin Problem with Convection Terms	10
Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems	9
Quasilinear Riccati-Type Equations with Oscillatory and Singular Data	8
Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth	8
Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents	8
Connecting and Closed Geodesics of a Kropina Metric	8
Liouville Results and Asymptotics of Solutions of a Quasilinear Elliptic Equation with Supercritical Source Gradient Term	8
On the Two-phase Fractional Stefan Problem	8
Regular Versus Singular Solutions in a Quasilinear Indefinite Problem with an Asymptotically Linear Potential	8
Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field	7
A Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems	7
Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs	7
Extremals for Fractional Moser–Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates	7
Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions	6
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems	6

On the Fractional NLS Equation and the Effects of the Potential Well’s Topology	6
Saturated Fronts in Crowds Dynamics	5
A Note on the Sobolev and Gagliardo--Nirenberg Inequality when ? > ?	5
Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers	5
Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions	5
Protection Zones in Periodic-Parabolic Problems	5
Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction	4
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems	4
Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction	4
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems	4
Periodic Solutions of Non-autonomous Allen–Cahn Equations Involving Fractional Laplacian	4
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems	3
Improved Interpolation Inequalities and Stability	3
Existence Results for the Conformal Dirac–Einstein System	3
Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type	3
Pointwise Gradient Estimates in Multi-dimensional Slow Diffusion Equations with a Singular Quenching Term	3
Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional ?-Laplacian	3
Compactness by Coarse-Graining in Long-Range Lattice Systems	3
Blow-Up Phenomena and Asymptotic Profiles Passing from H ¹-Critical to Super-Critical Quasilinear Schrödinger Equations	2
Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms	2
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term	2
Periodic Solutions to Klein–Gordon Systems with Linear Couplings	2
Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains	2
Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations	2
Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth	2
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data	2
New Results About the Lambda Constant and Ground States of the ?-Functional	2
The Hopf Lemma for the Schrödinger Operator	2
Existence of Positive Ground State Solutions for Choquard Systems	2
Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells	2
Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity	2