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 2021-11-01 to 2025-11-01.)

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	13
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	11
Hardy potential in existence and optimal summability in nonlinear elliptic equations	11
Decay estimates for the structural damped wave equations on Heisenberg groups	11
General stability estimates in nonlocal traffic models for several populations	10
Relaxation for degenerate nonlinear functionals in the one-dimensional case	10
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	9
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	8
On the one-dimensional Pompeiu problem	8
Liouville-type theorems for fractional Hardy–Hénon systems	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
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	7
A note on averaging for the dispersion-managed NLS	7
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	7
Maximum principles for elliptic operators in unbounded Riemannian domains	6
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	6
Nonlinear dynamic problems for 2D magnetoelastic waves	6
On the least-energy solutions of the pure Neumann Lane–Emden equation	6
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	6
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	5
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	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
Stability of translating states for self-propelled swarms	5
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Classical and generalized solutions of an alarm-taxis model	5
Attractors for a class of wave equations with nonlocal structural energy damping	5
A new space of generalised vector-valued functions of bounded variation	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
Non-compact perturbations of coercive functionals and applications	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
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	4
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	4
Stability of complement value problems for p-Lévy operators	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	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
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	4
Generalized semi-local Klein–Gordon–Maxwell equations	4
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions	4
Existence and uniqueness results for a class of nonlinear transmission problem with $$L^1$$ data	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
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	3
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile	3
On stable and finite Morse index solutions to quasilinear Schrödinger equations	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Removable singularities in the boundary for quasilinear elliptic equations	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
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
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
On backward Euler approximations for systems of conservation laws	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
On a local solvability of the contact Muskat problem	3
Unique ergodicity in stochastic electroconvection	3
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains	3
Existence in the nonlinear Schrödinger equation with bounded magnetic field	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Unified results for existence and compactness in the prescribed fractional Q-curvature problem	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

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
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 the cubic-quintic Schrödinger equation	2
Stability for the $$2\frac{1}{2}$$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow	2
Pohozaev identity for Finsler anisotropic problems	2
Boundary regularity of stationary critical points for a Cosserat energy functional	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
A convection–diffusion model on a star-shaped graph	2
Asymptotic behaviour of blow-up solutions of the fast diffusion equation	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	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
Function spaces on uniformly regular and singular Riemannian manifolds	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Multi-population phase oscillator networks with higher-order interactions	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
On the minimisation of the peak–to–average ratio	2
Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in $$\mathbb {R}^{3}$$	2
On the continuum limit for a model of binary waveguide arrays	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
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities	2
Infinitely many solutions for a boundary Yamabe problem	2
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
A symmetry result for fully nonlinear problems in exterior domains	2
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	2
On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order	2
On the strong local optimality for state-constrained control-affine problems	2
Fast reactions and slow manifolds	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	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
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
On the generalised Brézis–Nirenberg problem	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	2
NLS ground states on the half-line with point interactions	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	2
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2