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 2022-08-01 to 2026-08-01.)

Article	Citations
Invariance of sets under mutational inclusions on metric spaces	16
Hardy potential in existence and optimal summability in nonlinear elliptic equations	15
Decay estimates for the structural damped wave equations on Heisenberg groups	14
Relaxation for degenerate nonlinear functionals in the one-dimensional case	14
Asymptotic Issues for Fractional Laplacian on Long Cylinders	12
Correction to: Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line	11
Global solutions to the Navier-Stokes equations with random diffusion	11
q-Laplace equation involving the gradient on general bounded and exterior domains	11
General stability estimates in nonlocal traffic models for several populations	11
Existence and nonexistence of normalized solutions to a class of quasilinear Choquard problems	10
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	10
Linear convective stability of a front superposition with unstable connecting state	9
On the one-dimensional Pompeiu problem	9
Generalized Conservation Laws and Exact Solutions of Zakharov-Kuznetsov Equations	9
Sharp embeddings and existence results for Logarithmic p-Laplacian equations with critical growth	9
Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem	8
A note on averaging for the dispersion-managed NLS	8
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces	8
Dual variational methods for time-harmonic nonlinear Maxwell’s equations	7
Global stability of three trophic levels predator–prey model with alarm-taxis	7
Finite-time blow-up in a Keller-Segel system with flux limitation and nonlinear signal production	7
Viscosity solutions to nonlocal generalized p-Laplacian: existence, uniqueness, and regularity	7
Nonlinear dynamic problems for 2D magnetoelastic waves	7
Liouville-type theorems for fractional Hardy–Hénon systems	7
Gradient regularity for a class of doubly nonlinear parabolic partial differential equations	6

Boundedness in a quasilinear attraction-repulsion chemotaxis system with flux limitation	6
A new space of generalised vector-valued functions of bounded variation	6
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory	6
Maximum principles for elliptic operators in unbounded Riemannian domains	6
Attractors for a class of wave equations with nonlocal structural energy damping	6
Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator	6
Classical and generalized solutions of an alarm-taxis model	6
Stability of translating states for self-propelled swarms	5
Global regularity estimates for p(x)-Laplacian variational inequalities with singular or degenerate matrix-valued weights	5
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	5
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	5
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation	5
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	5
Hadamard-type variation formulae for the eigenvalues of a class of second-order elliptic operators and its applications	5
Non-compact perturbations of coercive functionals and applications	5
Generalized semi-local Klein–Gordon–Maxwell equations	5
Correction to: Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Dynamics for a class of Krasovskii equations with energy damping effects	4
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	4
Removable sets for Hölder continuous solutions of $$\mathcal {A}$$-harmonic functions on Finsler manifolds	4
A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents	4
Pushed fronts in a Fisher–KPP–Burgers system using geometric desingularization	4
Partial regularity and $$L^3$$-norm concentration effects around possible blow-up points for the micropolar fluid equations	4
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation	4
Gradient estimates for double phase problems with two modulating coefficients	4
Existence of ground state solutions to Kirchhoff–Choquard system in $$\mathbb {R}^3$$ with constant potentials	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
Global solutions to the Kirchhoff equation with spectral gap data in the energy space	4
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	4
Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds	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
Stability of complement value problems for p-Lévy operators	4
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions	4
Two dimensional wave-Klein–Gordon equations with a below-critical nonlinearity	3
Global boundedness in a quasilinear chemotaxis model for tumor angiogenesis	3
Periodic solutions of time-dependent perturbed Hamiltonian systems	3
Correction: Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Optimal control for the conformal CR sub-Laplacian obstacle problem	3
Removable singularities in the boundary for quasilinear elliptic equations	3
Superlinear singular double phase problems	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
Regularity criteria for the 3D dissipative system modeling electro–hydrodynamics via two velocity components	3
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations	3
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation	3
Elastic flow of curves with partial free boundary	3
Fast reactions and slow manifolds	3
On the cubic-quintic Schrödinger equation	3
Global dynamics of a two-species clustering model with Lotka–Volterra competition	3

Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	3
Positive solutions of Schrödinger equations with potentials G-symmetric and vanishing at infinity	3
Concentrating normalized solutions to planar Schrödinger–Poisson system with steep potential well: critical exponential case	3
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity	3
On the vanishing viscosity limit for inhomogeneous incompressible Navier-Stokes equations on bounded domains	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
Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term	3
Blow up solutions of an asymptotically critical problem involving fractional Laplacian in compact Riemannian manifold	3
On backward Euler approximations for systems of conservation laws	3
Age-structured SIS-B epidemic model with limited environmental cleaning capacity	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
Normalized solutions to a Choquard equation involving mixed local and nonlocal operators	3
Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations	2
Nonlinear acoustic equations of fractional higher order at the singular limit	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
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	2
Uniqueness for the Schrödinger equation on graphs with potential vanishing at infinity	2
NLS ground states on the half-line with point interactions	2
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
On the strong local optimality for state-constrained control-affine problems	2
Analysis of Coupled Steady Navier-Stokes and Turbulent Kinetic Energy Equations with Velocity-Dependent Boundary Conditions	2
Strongly singular problems with unbalanced growth and without summability of the weight function	2
Pohozaev identity for Finsler anisotropic problems	2
Full boundary regularity for minimizers of a Cosserat energy functional	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
Critical concave-convex problems in Carnot groups	2
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	2
On a doubly sublinear fractional p-Laplacian equation	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
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
A double-phase Neumann problem with $$p = 1$$	2
Global classical solutions for a two-dimensional Keller-Segel-Navier-Stokes system of potential type	2
On counterexamples to interior $$C^2$$ estimates for Monge-Ampère type equations	2
Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays	2
Blow-up criterion for the compressible Navier–Stokes system with inflow-outflow boundary conditions	2
Lazer-mckenna type problem involving mixed local and nonlocal elliptic operators	2
Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian	2
The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2
A symmetry result for fully nonlinear problems in exterior domains	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed $$VMO_x$$ Coefficients	2
A new decomposition method approach for strong and exponential stabilization of semilinear systems in banach spaces	2
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
On the minimisation of the peak–to–average ratio	2
A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$	2
Multi-population phase oscillator networks with higher-order interactions	2
Global solvability of a three-dimensional degenerate Keller–Segel–Navier–Stokes system with flux-dependent sensitivity and superlinear production	2
Partial regularity of minimizers for double phase functionals with variable exponents	2
Function spaces on uniformly regular and singular Riemannian manifolds	2
Noise-induced periodicity in a frustrated network of interacting diffusions	2
Critical non-linearity for some evolution equations with Fujita-type critical exponent	2
Supercritical Lane–Emden equation on a cone with an inhomogeneous Dirichlet boundary condition	2
Infinitely many solutions for a boundary Yamabe problem	2
Sommerfeld Radiation Condition for Helmholtz equations with long-range potentials	2
Optimization of the Dirichlet problem for gradient differential inclusions	2
On quasi-linear reaction diffusion systems arising from compartmental SEIR models	2