Advanced Nonlinear Studies

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 2020-11-01 to 2024-11-01.)
ArticleCitations
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝ n 27
Liouville Theorems for Fractional Parabolic Equations24
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument22
Anisotropic ?-Laplacian Evolution of Fast Diffusion Type18
Hardy–Adams Inequalities on ℍ2 × ℝ n-217
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus14
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition13
Sharp Hardy Identities and Inequalities on Carnot Groups13
Connecting and Closed Geodesics of a Kropina Metric10
Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems9
Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents8
Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field7
Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers7
On the Fractional NLS Equation and the Effects of the Potential Well’s Topology7
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems6
Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction6
Reversed Stein–Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions6
Saturated Fronts in Crowds Dynamics6
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems6
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems4
Periodic Solutions to Klein–Gordon Systems with Linear Couplings4
Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth4
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems4
Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type3
Existence Results for the Conformal Dirac–Einstein System3
Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System with Broken Symmetry2
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data2
Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains2
Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells2
Blow-Up Phenomena and Asymptotic Profiles Passing from H 1-Critical to Super-Critical Quasilinear Schrödinger Equations2
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term2
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