Advances in Nonlinear Analysis

Papers
(The median citation count of Advances in Nonlinear Analysis is 4. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
On the uniqueness for weak solutions of steady double-phase fluids58
Application of Capacities to Space-Time Fractional Dissipative Equations II: Carleson Measure Characterization for Lq(ℝ+n+1,μ) L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) −Extension38
Anomalous pseudo-parabolic Kirchhoff-type dynamical model32
On the singularly perturbation fractional Kirchhoff equations: Critical case31
Regularity estimates for fractional orthotropic p-Laplacians of mixed order29
Centered Hardy-Littlewood maximal function on product manifolds25
Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping22
Constrained optimization problems governed by PDE models of grain boundary motions20
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction18
Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity15
On the nonlinear perturbations of self-adjoint operators15
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations13
Positive solutions for (p, q)-equations with convection and a sign-changing reaction13
Approximate nonradial solutions for the Lane-Emden problem in the ball12
Continuous flows driving branching processes and their nonlinear evolution equations11
Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics10
Sobolev regularity solutions for a class of singular quasilinear ODEs10
Positive solutions for a nonhomogeneous Schrödinger-Poisson system9
Groundstates for Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical exponent9
Absolute Stability of Neutral Systems with Lurie Type Nonlinearity8
Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian8
Solutions for nonhomogeneous fractional (p,q)-Laplacian systems with critical nonlinearities7
A regularized gradient flow for the p-elastic energy7
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory7
Bifurcation analysis for a modified quasilinear equation with negative exponent7
Critical nonlocal Schrödinger-Poisson system on the Heisenberg group7
Ground state solutions to a class of critical Schrödinger problem6
On non-resistive limit of 1D MHD equations with no vacuum at infinity6
On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator5
The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the L 2-subcritical and L<5
Nondiffusive variational problems with distributional and weak gradient constraints5
Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations5
Maximum principle for higher order operators in general domains5
Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case5
Existence and uniqueness of periodic orbits in a discrete model on Wolbachia infection frequency5
Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential5
Entire solutions of certain fourth order elliptic problems and related inequalities4
Singular quasilinear convective elliptic systems in ℝ N 4
Distortion inequality for a Markov operator generated by a randomly perturbed family of Markov Maps in ℝd4
Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem4
Bounded solutions to systems of fractional discrete equations4
On the planar Kirchhoff-type problem involving supercritical exponential growth4
Global well-posedness of the full compressible Hall-MHD equations4
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