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 2021-08-01 to 2025-08-01.)

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	17
Invariance of sets under mutational inclusions on metric spaces	14
Periodic solutions of weakly coupled superlinear systems with indefinite terms	10
Hardy potential in existence and optimal summability in nonlinear elliptic equations	10
Decay estimates for the structural damped wave equations on Heisenberg groups	10
General stability estimates in nonlocal traffic models for several populations	9
q-Laplace equation involving the gradient on general bounded and exterior domains	9
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	8
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	8
Relaxation for degenerate nonlinear functionals in the one-dimensional case	8
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
On the one-dimensional Pompeiu problem	7
Maximum principles for elliptic operators in unbounded Riemannian domains	7
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
A note on averaging for the dispersion-managed NLS	7
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
Classical and generalized solutions of an alarm-taxis model	6
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
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5

Non-radial scattering theory for nonlinear Schrödinger equations with potential	5
Stability of translating states for self-propelled swarms	5
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	5
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	4
Non-compact perturbations of coercive functionals and applications	4
Stability of complement value problems for p-Lévy operators	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Global higher integrability for a doubly nonlinear parabolic system	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	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
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Generalized semi-local Klein–Gordon–Maxwell equations	4
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	4
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Multi-population phase oscillator networks with higher-order interactions	3
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
NLS ground states on the half-line with point interactions	3
Elastic flow of curves with partial free boundary	3
Lattice approximations of the first-order mean field type differential games	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Unique ergodicity in stochastic electroconvection	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Three results on the energy conservation for the 3D Euler equations	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	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
Fast reactions and slow manifolds	3
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	3
Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body	3

Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	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
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Dynamics for a class of Krasovskii equations with energy damping effects	3
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
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Pohozaev identity for Finsler anisotropic problems	2
A dynamic model for viscoelasticity in domains with time-dependent cracks	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
On the cubic-quintic Schrödinger equation	2
A convection–diffusion model on a star-shaped graph	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
On the generalised Brézis–Nirenberg problem	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 symmetry result for fully nonlinear problems in exterior domains	2
Infinitely many solutions for a boundary Yamabe problem	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
On backward Euler approximations for systems of conservation laws	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces	2
On the continuum limit for a model of binary waveguide arrays	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	2
Life-span of solutions for a nonlinear parabolic system	2
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	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