OOIR: Observatory of International Research

Papers

(The TQCC of Nodea-Nonlinear Differential Equations and Applications 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 2021-10-01 to 2025-10-01.)

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	19
Invariance of sets under mutational inclusions on metric spaces	14
Periodic solutions of weakly coupled superlinear systems with indefinite terms	12
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	10
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Hardy potential in existence and optimal summability in nonlinear elliptic equations	10
General stability estimates in nonlocal traffic models for several populations	10
Relaxation for degenerate nonlinear functionals in the one-dimensional case	9
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
Decay estimates for the structural damped wave equations on Heisenberg groups	9
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	8
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
A note on averaging for the dispersion-managed NLS	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
On the one-dimensional Pompeiu problem	7
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	7
Maximum principles for elliptic operators in unbounded Riemannian domains	6
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Stability of translating states for self-propelled swarms	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5

Attractors for a class of wave equations with nonlocal structural energy damping	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
On the least-energy solutions of the pure Neumann Lane–Emden equation	5
A new space of generalised vector-valued functions of bounded variation	5
Classical and generalized solutions of an alarm-taxis model	5
Non-compact perturbations of coercive functionals and applications	5
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	4
Stability of complement value problems for p-Lévy operators	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Global higher integrability for a doubly nonlinear parabolic system	4
Dynamics for a class of Krasovskii equations with energy damping effects	4
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	4
Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	4
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
On a local solvability of the contact Muskat problem	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Three results on the energy conservation for the 3D Euler equations	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	3
On backward Euler approximations for systems of conservation laws	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Fast reactions and slow manifolds	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Unique ergodicity in stochastic electroconvection	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Elastic flow of curves with partial free boundary	3

On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
On the generalised Brézis–Nirenberg problem	2
Pohozaev identity for Finsler anisotropic problems	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
A symmetry result for fully nonlinear problems in exterior domains	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
On the strong local optimality for state-constrained control-affine problems	2
Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
Observability and attractors of nonlinear Von Kármán beams	2
On the continuum limit for a model of binary waveguide arrays	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
A dynamic model for viscoelasticity in domains with time-dependent cracks	2
Infinitely many solutions for a boundary Yamabe problem	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On the cubic-quintic Schrödinger equation	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Velocity diagram of traveling waves for discrete reaction–diffusion equations	2
Life-span of solutions for a nonlinear parabolic system	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
A convection–diffusion model on a star-shaped graph	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Nonexistence results for elliptic problems with supercritical growth in thin planar domains	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
NLS ground states on the half-line with point interactions	2
Multi-population phase oscillator networks with higher-order interactions	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2