Advanced Nonlinear Studies

Papers
(The median citation count of Advanced Nonlinear Studies 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument32
Matrix weights and a maximal function with exponent 3/229
On Bobkov-Tanaka type spectrum for the double-phase operator26
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝ n 21
Soliton resolution and channels of energy15
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity13
Solitons to the Willmore flow10
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition7
Blow-Up Phenomena and Asymptotic Profiles Passing from H 1-Critical to Super-Critical Quasilinear Schrödinger Equations7
Asymptotic behaviors of least energy solutions for weakly coupled nonlinear Schrödinger systems6
Sobolev extension in a simple case6
Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian4
The Neumann function and the L p Neumann problem in chord-arc domains4
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data4
Current perspectives on the Halo Conjecture2
Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations2
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus2
Solutions to the coupled Schrödinger systems with steep potential well and critical exponent2
An example related to Whitney’s extension problem for L 2,p (R2) when 1 < p < 21
Convergence rates of eigenvalue problems in perforated domains: the case of small volume0
Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers0
Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian0
Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System with Broken Symmetry0
Singular Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field0
Frontmatter0
Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field0
Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation0
On the L p -boundedness of Calderón-Zygmund operators0
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems0
An introduction to the distorted Fourier transform0
Connecting and Closed Geodesics of a Kropina Metric0
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems0
Frontmatter0
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates0
Liouville Theorems for Fractional Parabolic Equations0
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term0
Normalized solutions for nonlinear Schrödinger systems with critical exponents0
Periodic Solutions to Klein–Gordon Systems with Linear Couplings0
A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations0
Multiplicity of normalized solutions for nonlinear Choquard equations0
Frontmatter0
Hearing exotic smooth structures0
Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences0
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems0
Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in ℝ20
Maximal estimates for strong arithmetic means of Fourier series0
Anisotropic ????-Laplacian Evolution of Fast Diffusion Type0
Existence of Ground States of Fractional Schrödinger Equations0
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems0
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