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 2022-01-01 to 2026-01-01.)

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	19
Periodic solutions of weakly coupled superlinear systems with indefinite terms	14
Invariance of sets under mutational inclusions on metric spaces	14
Hardy potential in existence and optimal summability in nonlinear elliptic equations	13
Decay estimates for the structural damped wave equations on Heisenberg groups	12
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	11
Relaxation for degenerate nonlinear functionals in the one-dimensional case	11
q-Laplace equation involving the gradient on general bounded and exterior domains	10
Global solutions to the Navier-Stokes equations with random diffusion	9
Asymptotic Issues for Fractional Laplacian on Long Cylinders	9
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
General stability estimates in nonlocal traffic models for several populations	8
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	8
On the one-dimensional Pompeiu problem	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	7
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	6
Dual variational methods for time-harmonic nonlinear Maxwell’s equations	6
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Global stability of three trophic levels predator–prey model with alarm-taxis	6
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	6
Maximum principles for elliptic operators in unbounded Riemannian domains	6
A note on averaging for the dispersion-managed NLS	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	6

Stability of translating states for self-propelled swarms	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
On the least-energy solutions of the pure Neumann Lane–Emden equation	5
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	5
Non-compact perturbations of coercive functionals and applications	5
A new space of generalised vector-valued functions of bounded variation	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	5
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Classical and generalized solutions of an alarm-taxis model	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Stability of complement value problems for p-Lévy operators	4
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	4
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	4
Gradient estimates for double phase problems with two modulating coefficients	4
Global higher integrability for a doubly nonlinear parabolic system	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	4
On a local solvability of the contact Muskat problem	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Dynamics for a class of Krasovskii equations with energy damping effects	3
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Unique ergodicity in stochastic electroconvection	3
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
On the cubic-quintic Schrödinger equation	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Three results on the energy conservation for the 3D Euler equations	3

Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
On backward Euler approximations for systems of conservation laws	3
Elastic flow of curves with partial free boundary	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
On the strong local optimality for state-constrained control-affine problems	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
On a doubly sublinear fractional p-Laplacian equation	2
Blow up solutions of an asymptotically critical problem involving fractional Laplacian in compact Riemannian manifold	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
A convection–diffusion model on a star-shaped graph	2
On the continuum limit for a model of binary waveguide arrays	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed $$VMO_x$$ Coefficients	2
Infinitely many solutions for a boundary Yamabe problem	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On the minimisation of the peak–to–average ratio	2
A symmetry result for fully nonlinear problems in exterior domains	2
Multi-population phase oscillator networks with higher-order interactions	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
NLS ground states on the half-line with point interactions	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Fast reactions and slow manifolds	2
Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Life-span of solutions for a nonlinear parabolic system	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Interplay of flux limitation and nonlinear production in a two-dimensional Keller-Segel-Stokes system	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	2
A new decomposition method approach for strong and exponential stabilization of semilinear systems in banach spaces	2
Pohozaev identity for Finsler anisotropic problems	2
On the generalised Brézis–Nirenberg problem	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
Optimization of the Dirichlet problem for gradient differential inclusions	2