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 2021-06-01 to 2025-06-01.)

Article	Citations
Global attractor for 3D Dirac equation with nonlinear point interaction	24
Invariance of sets under mutational inclusions on metric spaces	15
Periodic solutions of weakly coupled superlinear systems with indefinite terms	14
q-Laplace equation involving the gradient on general bounded and exterior domains	13
Hardy potential in existence and optimal summability in nonlinear elliptic equations	10
Relaxation for degenerate nonlinear functionals in the one-dimensional case	9
General stability estimates in nonlocal traffic models for several populations	9
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	9
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
A note on averaging for the dispersion-managed NLS	8
Liouville-type theorems for fractional Hardy–Hénon systems	8
On the one-dimensional Pompeiu problem	8
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	8
Global stability of three trophic levels predator–prey model with alarm-taxis	8
Nonlinear dynamic problems for 2D magnetoelastic waves	7
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	7
Maximum principles for elliptic operators in unbounded Riemannian domains	7
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	7
Non-radial scattering theory for nonlinear Schrödinger equations with potential	6
Attractors for a class of wave equations with nonlocal structural energy damping	6
On the least-energy solutions of the pure Neumann Lane–Emden equation	6
A new space of generalised vector-valued functions of bounded variation	6
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	5
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	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
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift	5
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Stability of complement value problems for p-Lévy operators	5
Non-compact perturbations of coercive functionals and applications	5
Classical and generalized solutions of an alarm-taxis model	5
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	5
Global higher integrability for a doubly nonlinear parabolic system	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	4
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	4
Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations	4
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Dynamics for a class of Krasovskii equations with energy damping effects	4
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	4
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	4
Removable singularities in the boundary for quasilinear elliptic equations	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	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
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	3
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	3
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	3
On backward Euler approximations for systems of conservation laws	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
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Elastic flow of curves with partial free boundary	3
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Three results on the energy conservation for the 3D Euler equations	3
NLS ground states on the half-line with point interactions	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
Lattice approximations of the first-order mean field type differential games	3
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Unique ergodicity in stochastic electroconvection	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
Multi-population phase oscillator networks with higher-order interactions	3
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Low regularity solutions to the non-abelian Chern–Simons–Higgs system in the Lorenz gauge	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Life-span of solutions for a nonlinear parabolic system	2
Pohozaev identity for Finsler anisotropic problems	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
A convection–diffusion model on a star-shaped graph	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	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
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	2
On the strong local optimality for state-constrained control-affine problems	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
On the generalised Brézis–Nirenberg problem	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Velocity diagram of traveling waves for discrete reaction–diffusion equations	2
A symmetry result for fully nonlinear problems in exterior domains	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
A dynamic model for viscoelasticity in domains with time-dependent cracks	2
Observability and attractors of nonlinear Von Kármán beams	2
Weak solutions for potential mean field games of controls	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
On the continuum limit for a model of binary waveguide arrays	2