OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Nonlinear Analysis is 5. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation	59
Existence and uniqueness of periodic orbits in a discrete model on Wolbachia infection frequency	51
Multiple solutions for critical Choquard-Kirchhoff type equations	48
Convergence analysis for double phase obstacle problems with multivalued convection term	30
Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation	27
Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems	27
Existence and concentration of ground-states for fractional Choquard equation with indefinite potential	26
On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator	26
Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian	23
Blowing-up solutions of the time-fractional dispersive equations	23
Ground states and multiple solutions for Hamiltonian elliptic system with gradient term	21
The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the L ²-subcritical and L<	20
Existence, multiplicity and nonexistence results for Kirchhoff type equations	20
Positive Solutions for Resonant (p, q)-equations with convection	20
The concentration-compactness principles for W^s,p(·,·)(ℝ ^N ) and application	19
Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth	18
Concentration results for a magnetic Schrödinger-Poisson system with critical growth	18
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory	18
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion	17
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝ^N	17
Standing waves to upper critical Choquard equation with a local perturbation: Multiplicity, qualitative properties and stability	16
Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term	16
On the singularly perturbation fractional Kirchhoff equations: Critical case	15
Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior	15
Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation	15

Fractional Hardy-Sobolev equations with nonhomogeneous terms	13
On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain	13
Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure	13
Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach	13
Nehari-type ground state solutions for a Choquard equation with doubly critical exponents	13
Convergence Results for Elliptic Variational-Hemivariational Inequalities	11
Weak and stationary solutions to a Cahn–Hilliard–Brinkman model with singular potentials and source terms	11
Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation	11
Critical nonlocal Schrödinger-Poisson system on the Heisenberg group	11
New class of sixth-order nonhomogeneousp(x)-Kirchhoff problems with sign-changing weight functions	10
Positive solutions for (p, q)-equations with convection and a sign-changing reaction	10
Existence and concentration of positive solutions for a critical p&q equation	10
On the planar Kirchhoff-type problem involving supercritical exponential growth	10
Variational formulations of steady rotational equatorial waves	9
Regularity estimates for fractional orthotropic p-Laplacians of mixed order	9
Single peaked traveling wave solutions to a generalized μ-Novikov Equation	9
Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates	9
Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials	8
Solutions for nonhomogeneous fractional (p,q)-Laplacian systems with critical nonlinearities	8
Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent	8
Solving Composite Fixed Point Problems with Block Updates	7
Multiple nodal solutions of the Kirchhoff-type problem with a cubic term	7
Singular quasilinear convective elliptic systems in ℝ^N	7
Anomalous pseudo-parabolic Kirchhoff-type dynamical model	7
Solvability of an infinite system of integral equations on the real half-axis	7
Groundstates for Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical exponent	7
Asymptotic proximity to higher order nonlinear differential equations	7
Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions	6
Liouville property of fractional Lane-Emden equation in general unbounded domain	6
A regularized gradient flow for the p-elastic energy	6
Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian	6
Exponential stability of the nonlinear Schrödinger equation with locally distributed damping on compact Riemannian manifold	6
Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case	6
Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping	6
Iterative methods for monotone nonexpansive mappings in uniformly convex spaces	6
On the existence of periodic oscillations for pendulum-type equations	6
Concentration behavior of semiclassical solutions for Hamiltonian elliptic system	6
On the sub–diffusion fractional initial value problem with time variable order	6
On variational nonlinear equations with monotone operators	6
Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system	5
Infinitely many non-radial solutions for a Choquard equation	5
Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth	5
Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities	5
New asymptotically quadratic conditions for Hamiltonian elliptic systems	5
Bounded solutions to systems of fractional discrete equations	5
Lions-type theorem of thep-Laplacian and applications	5
Local versus nonlocal elliptic equations: short-long range field interactions	5
Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations	5
Non-stationary Navier–Stokes equations in 2D power cusp domain	5
On singular quasilinear elliptic equations with data measures	5