OOIR: Observatory of International Research

Papers

(The median citation count of Advanced Nonlinear Studies is 1. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations	27
Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions	24
Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System	22
Existence of Ground States of Fractional Schrödinger Equations	18
Periodic Solutions to Klein–Gordon Systems with Linear Couplings	17
Hardy–Adams Inequalities on ℍ² × ℝ^n-2	14
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems	13
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument	13
On the convexity theory of generating functions	10
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝⁿ	9
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems	7
Frontmatter	7
An introduction to the distorted Fourier transform	6
The Sobolev extension problem on trees and in the plane	6
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data	6
Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV	6
Connecting and Closed Geodesics of a Kropina Metric	4
Frontmatter	4
Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type	4
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term	4
Global Perturbation of Nonlinear Eigenvalues	3
Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in ℝ²	2
Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells	2
Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation	2
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus	2

Frontmatter	2
Liouville Theorems for Fractional Parabolic Equations	1
Frontmatter	1
Anisotropic ????-Laplacian Evolution of Fast Diffusion Type	1