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 2020-11-01 to 2024-11-01.)

Article	Citations
Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening	27
Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise	16
Normalized solutions of mass subcritical Schrödinger equations in exterior domains	12
Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities	11
On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	11
Regularity results for a class of nonlinear fractional Laplacian and singular problems	10
Multi-population phase oscillator networks with higher-order interactions	10
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	8
Weak solutions for potential mean field games of controls	8
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control	7
Some estimates for the planning problem with potential	7
Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation	7
On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping	6
Asymptotic stability of kink with internal modes under odd perturbation	6
A mean value formula for the variational p-Laplacian	5
Scattering threshold for the focusing coupled Schrödinger system revisited	5
Bi-Kolmogorov type operators and weighted Rellich’s inequalities	5
Behavior in time of solutions of a Keller–Segel system with flux limitation and source term	5
Relaxation of the Boussinesq system and applications to the Rayleigh–Taylor instability	5
Nonlocal elastodynamics and fracture	5
Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion	5
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	5
On global existence and blowup of solutions of Stochastic Keller–Segel type equation	5
Modified scattering for a dispersion-managed nonlinear Schrödinger equation	5
Positive solutions for nonlinear schrödinger–poisson systems with general nonlinearity	5

Nonlinear evolution problems with singular coefficients in the lower order terms	5
Fractional $$({\varvec{s}},{\varvec{p}})$$-Robin–Venttsel’ problems on extension domains	4
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	4
Regularity of the value function and quantitative propagation of chaos for mean field control problems	4
Hardy spaces associated to generalized Hardy operators and applications	4
Quasi-static limit for a hyperbolic conservation law	4
Non-local approximation of the Griffith functional	4
Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons	4
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$	4
A dynamic model for viscoelasticity in domains with time-dependent cracks	4
Fractional truncated Laplacians: representation formula, fundamental solutions and applications	4
Stability estimate for a semilinear elliptic inverse problem	4
NLS ground states on the half-line with point interactions	4
Lattice approximations of the first-order mean field type differential games	4
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons	4
On a class of stochastic partial differential equations with multiple invariant measures	4
Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel	4
The planar least gradient problem in convex domains: the discontinuous case	4
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	4
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	4
Fixed analytic radius lower bound for the dissipative KdV equation on the real line	4
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting	3
Fokker–Planck equations with terminal condition and related McKean probabilistic representation	3
On a class of elliptic free boundary problems with multiple solutions	3
Global boundedness of the immune chemotaxis system with general kinetic functions	3
Pohozaev-type identities for differential operators driven by homogeneous vector fields	3
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass	3
Variational p-harmonious functions: existence and convergence to p-harmonic functions	3
Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems	3
Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents	3
Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors	3
On the least-energy solutions of the pure Neumann Lane–Emden equation	3
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth	3
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	3
Mean field games with monotonous interactions through the law of states and controls of the agents	3
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities	3
Harnack inequalities with power $$\pmb {p\in (1,+\infty )}$$ for transition semigroups in Hilbert spaces	3
Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	3
Non-radial scattering theory for nonlinear Schrödinger equations with potential	3
Pohozaev identity for Finsler anisotropic problems	3
Periodic solutions of weakly coupled superlinear systems with indefinite terms	3
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	2
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction	2
Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency	2
Monostable pulled fronts and logarithmic drifts	2
Hardy-Lane-Emden inequalities for $$\pmb {p}$$-Laplacian on arbitrary domains	2
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	2
Stationary fronts and pulses for multistable equations with saturating diffusion	2
On the comparison principle for second order elliptic equations without first and zeroth order terms	2
Asymptotic mean value properties for the elliptic and parabolic double phase equations	2

Multiple solutions of higher topological type for semiclassical nonlinear Schrödinger equations	2
Quasilinear elliptic equations with sub-natural growth terms in bounded domains	2
Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient	2
A sharp Hardy–Sobolev inequality with boundary term and applications	2
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	2
A dynamic programming approach for controlled fractional SIS models	2
A singular problem with nonlinearities of exponential growth	2
Multiplicity results for generalized quasilinear critical Schrödinger equations in $${\mathbb {R}}^N$$	2
Three results on the energy conservation for the 3D Euler equations	2
Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping	2
Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow	2
A reverse Hölder inequality for the gradient of solutions to Trudinger’s equation	2
Ground state solutions for quasilinear scalar field equations arising in nonlinear optics	2
Lower bounds on mixing norms for the advection diffusion equation in $$\mathbb {R}^d$$	2
Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities	2
Publisher Correction to: On the stochastic Dullin–Gottwald–Holm equation: global existence and wave-breaking phenomena	2
Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
Hybrid control for optimal visiting problems for a single player and for a crowd	2
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	2
Micro-inertia effects on existence of attractors for Form II Mindlin’s strain gradient viscoelastic plate	2
On stable and finite Morse index solutions to quasilinear Schrödinger equations	2
Existence and regularity results for nonlinear elliptic equations in Orlicz spaces	2
Dissipation enhancement by transport noise for stochastic p-Laplace equations	2
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions	2
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	2
Stable and finite Morse index solutions of a nonlinear Schrödinger system	2
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities	2