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 2021-02-01 to 2025-02-01.)

Article	Citations
Stability in inverse source problems for nonlinear reaction–diffusion systems	29
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	16
Global attractor for 3D Dirac equation with nonlinear point interaction	12
Partial regularity of minimizers for double phase functionals with variable exponents	12
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	11
Comparison Principle for Hamilton-Jacobi-Bellman Equations via a Bootstrapping Procedure	10
Partial integrodifferential equations with critical nonlinearities	8
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	8
Phase transitions in porous media	7
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	7
A global method for relaxation for multi-levelled structured deformations	7
A singular problem with nonlinearities of exponential growth	6
Variational p-harmonious functions: existence and convergence to p-harmonic functions	6
Invariance of sets under mutational inclusions on metric spaces	5
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	5
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	5
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	5
Multi-population phase oscillator networks with higher-order interactions	5
Monostable pulled fronts and logarithmic drifts	5
Sobolev gradients of viscosity supersolutions	5
Non-radial solutions for higher order Hénon-type equation with critical exponent	5
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	5
Mean field games with monotonous interactions through the law of states and controls of the agents	5
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	5
Hybrid control for optimal visiting problems for a single player and for a crowd	5

The Brezis–Nirenberg problem for systems involving divergence-form operators	5
Infinitely many solutions for a class of resonant problems	5
Quasi-static limit for a hyperbolic conservation law	4
q-Laplace equation involving the gradient on general bounded and exterior domains	4
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	4
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source	4
Heteroclinic solutions for some classes of prescribed mean curvature equations in whole $$\mathbb {R}^2$$	4
NLS ground states on the half-line with point interactions	4
The bounded slope condition for parabolic equations with time-dependent integrands	4
Sharp and quantitative estimates for the p-Torsion of convex sets	4
On backward Euler approximations for systems of conservation laws	4
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	4
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	4
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	4
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	4
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	4
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	4
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	4
A new space of generalised functions with bounded variation motivated by fracture mechanics	4
Removable singularities in the boundary for quasilinear elliptic equations	4
A supercritical estimate for Bessel potentials on Lorentz spaces	4
Lattice approximations of the first-order mean field type differential games	3
Prescribing the $${\overline{Q}}^{\prime }$$-curvature on pseudo-Einstein CR 3-manifolds	3
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	3
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	3
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	3
Correction to: Stability of complement value problems for p-Lévy operators	3
Non-local approximation of the Griffith functional	3
Saddle solutions for the planar Schrödinger–Poisson system with exponential growth	3
Harmonic embeddings of the Stretched Sierpinski Gasket	3
A dynamic programming approach for controlled fractional SIS models	3
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	3
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	3
Interpolation results for convergence of implicit Euler schemes with accretive operators	3
Periodic solutions of weakly coupled superlinear systems with indefinite terms	3
$$C^{1,\alpha }$$ regularity for stationary mean-field games with logarithmic coupling	3
Second order local minimal-time mean field games	3
A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional	3
Fourier Galerkin approximation of mean field control problems	3
Semilinear elliptic problems in $$\mathbb {R}^N$$: the interplay between the potential and the nonlinear term	2
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	2
Liouville-type theorems for fractional Hardy–Hénon systems	2
Classification of Ground-states of a coupled Schrödinger system	2
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	2
Global stability of three trophic levels predator–prey model with alarm-taxis	2
On the motion of rigid bodies in a perfect fluid	2
Evolutionary stable strategies and cubic vector fields	2
Three remarks on the convergence of some discretized second order gradient-like systems	2
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	2
Wigner analysis of fourier integral operators with symbols in the Shubin classes	2

Multiplicity results for elliptic problems with critical exponential growth	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
A damped elastodynamics system under the global injectivity condition: local wellposedness in $$L^p$$-spaces	2
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	2
Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency	2
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	2
A uniqueness criterion and a counterexample to regularity in an incompressible variational problem	2
Sign-changing solutions for elliptic problem involving the sixth order GJMS operator on compact manifold	2
Five solutions for the fractional $$\pmb {p}$$-Laplacian with noncoercive energy	2
On radial positive normalized solutions of the Nonlinear Schrödinger equation in an annulus	2
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	2
The Fučík spectrum of Schrödinger operators in strongly indefinite cases	2
Small perturbations for a Duffing-like evolution equation involving non-commuting operators	2
A stochastic representation for the solution of approximated mean curvature flow	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
Solutions of a quasilinear Schrödinger–Poisson system with linearly bounded nonlinearities	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
Properties of set-valued Young integrals and Young differential inclusions generated by sets of Hölder functions	2