OOIR: Observatory of International Research

Papers

(The TQCC of Asymptotic Analysis 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 2021-04-01 to 2025-04-01.)

Article	Citations
Infinitely Many Sign-Changing Solutions for Coupled Schrödinger System	9
Local Limit Theorem for Complex-Valued Sequences	8
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	6
Ground state solution for the Schrödinger equation with Hardy potential and critical Sobolev exponent	5
Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data	5
Thin ferromagnetic plates with magnetostriction	4
Concavity principles for nonautonomous elliptic equations and applications	4
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	4
Semiclassical resolvent bounds for short range L∞ potentials with singularities at the origin	4
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	4
Spectral gaps in a double-periodic perforated Neumann waveguide	4
Asymptotic expansion of solutions to the wave equation with space-dependent damping	4
Nodal solutions to (p,q)-Laplacian equations with critical growth	3
Boundary localization of transmission eigenfunctions in spherically stratified media	3
Combined effects of homogenization and singular perturbations: Quantitative estimates	3
Rayleigh and Stoneley waves in linear elasticity	3
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	3
Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R1+1	3
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	3
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	2
Comparison results for a nonlocal singular elliptic problem	2
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	2
Strongly compact strong trajectory attractors for evolutionary systems and their applications	2
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations	2
Asymptotic stability of stationary Navier–Stokes flow in Besov spaces	2

An optimal control problem for diffusion–precipitation model	2
Smooth dynamics of a Timoshenko system with hybrid dissipation	2
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	2
Crime pays; homogenized wave equations for long times	2
Approximate mixed synchronization by groups for a coupled system of wave equations	2
Existence, uniqueness, and asymptotic stability results for the 3-D steady and unsteady Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions	2
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	2
Bound states of weakly deformed soft waveguides	2
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result	2
New decay results for Timoshenko system in the light of the second spectrum of frequency with infinite memory and nonlinear damping of variable exponent type	2
Transient response of a thin linearly elastic plate with Norton or Tresca friction	2
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	2
Spectral asymptotics for the Schrödinger operator with a non-decaying potential	2
The three dimensional Maxwell equations with strongly anisotropic electric permittivity	1
Approximate kink-kink solutions for the ϕ 6 model in the low-speed limit	1
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases	1
Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential	1
Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials	1
Optimal L2-decay of solutions to a cubic dissipative nonlinear Schrödinger equation	1
Existence and Convergence of Ground State Solutions for a ( p , q )-Laplacian System on Weighted Graphs	1
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions	1
Approximating a continuously stratified hydrostatic system by the multi-layer shallow water system	1
Asymptotic analysis of two-dimensional Oldroyd fluids in unbounded domains: Global attractors and their dimension	1
Nonlocal approximations to anisotropic Sobolev norms	1
Cahn–Hilliard system with proliferation term	1
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2 – Derivation of the macroscopic tridomain model by unfolding homogenization method	1
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds	1
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms	1
Inverse resonance scattering for massless Dirac operators on the real line	1
Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration	1
Membranes with thin and heavy inclusions: Asymptotics of spectra	1
Existence of quasilinear elliptic equations with prescribed limiting behavior	1
The Clausius–Mossotti formula	1
Recovery of a general nonlinearity in the semilinear wave equation	1
Haim Brezis (1944–2024)	1
On the existence and stability of a nonlinear wave system with variable exponents	1
Sharp eigenvalue asymptotics of fourth-order differential operators	1
Concentration and multiple normalized solutions for a class of biharmonic Schrödinger equations1	1
The truncated version of the laminated beam system	1
Asymptotic Behavior of Nonlocal Semilinear Degenerate Heat Equations With Degenerate Memory	1
Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides	1
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation	1
Semilinear hyperbolic inequalities with Hardy potential in a bounded domain	1
The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions	1
Bifurcation from infinity and multiplicity results for an elliptic system from biology	1
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	1
On a class of infinite semipositone problems for (p,q) Laplace operator	1
Homogenization of a nonlinear elliptic system with a transport term in L2	1
Decomposition of the Displacements of a Plate With Very High Thickness Contrast	1

Uniqueness for active scalar equations in a Zygmund space	1
Integro-differential diffusion equations on graded Lie groups	1
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	1
Front Propagation in Hybrid Reaction-Diffusion Epidemic Models With Spatial Heterogeneity. Part I: Spreading Speed and Asymptotic Behavior	1
Arbitrarily small nodal solutions for nonhomogeneous Robin problems	1
Topological asymptotic expansion for the full Navier–Stokes equations	1
Linear theory for a mixed operator with Neumann conditions	1
Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains	1