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 2021-04-01 to 2025-04-01.)

Article	Citations
Stability in inverse source problems for nonlinear reaction–diffusion systems	22
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions	14
The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations	13
Variational p-harmonious functions: existence and convergence to p-harmonic functions	13
A global method for relaxation for multi-levelled structured deformations	12
Infinitely many solutions for a class of resonant problems	8
The Brezis–Nirenberg problem for systems involving divergence-form operators	8
On backward Euler approximations for systems of conservation laws	8
Non-radial solutions for higher order Hénon-type equation with critical exponent	8
New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations	7
q-Laplace equation involving the gradient on general bounded and exterior domains	7
NLS ground states on the half-line with point interactions	7
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source	7
Nonlinear variational inequalities with variable regular bilateral constraints in variable domains	7
Existence and mass concentration of standing waves for inhomogeneous NLS equation with a bounded potential	6
Second order local minimal-time mean field games	6
A dynamic programming approach for controlled fractional SIS models	6
A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional	6
Interpolation results for convergence of implicit Euler schemes with accretive operators	6
Heteroclinic solutions for some classes of prescribed mean curvature equations in whole $$\mathbb {R}^2$$	6
Harmonic embeddings of the Stretched Sierpinski Gasket	6
Prescribing the $${\overline{Q}}^{\prime }$$-curvature on pseudo-Einstein CR 3-manifolds	5
Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains	5
On solutions for fractional $$\pmb {N/s}$$-Laplacian equations involving exponential growth	5
Ground state solutions for Schrödinger–Poisson systems with multiple weighted critical exponents	5

Invariance of sets under mutational inclusions on metric spaces	5
Quasi-static limit for a hyperbolic conservation law	5
A singular problem with nonlinearities of exponential growth	5
Hybrid control for optimal visiting problems for a single player and for a crowd	5
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups	5
Lattice approximations of the first-order mean field type differential games	5
Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type	5
Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case	5
Stationary states to a free boundary transmission problem for an electrostatically actuated plate	4
Global attractor for 3D Dirac equation with nonlinear point interaction	4
Periodic solutions of weakly coupled superlinear systems with indefinite terms	4
Sharp and quantitative estimates for the p-Torsion of convex sets	4
A system of first order Hamilton–Jacobi equations related to an optimal debt management problem	4
Mean field games with monotonous interactions through the law of states and controls of the agents	4
Global existence for the semi-linear wave/Klein–Gordon equation associated to the harmonic oscillator in low dimensions	4
Monostable pulled fronts and logarithmic drifts	4
Multi-population phase oscillator networks with higher-order interactions	4
$$C^{1,\alpha }$$ regularity for stationary mean-field games with logarithmic coupling	4
Partial integrodifferential equations with critical nonlinearities	4
Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications	4
A new space of generalised functions with bounded variation motivated by fracture mechanics	4
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications	4
Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise	4
Hardy potential in existence and optimal summability in nonlinear elliptic equations	3
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups	3
Fourier Galerkin approximation of mean field control problems	3
Saddle solutions for the planar Schrödinger–Poisson system with exponential growth	3
The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane	3
General stability estimates in nonlocal traffic models for several populations	3
Bifurcation diagrams of semilinear elliptic equations for supercritical nonlinearities in two dimensions	3
Correction to: Stability of complement value problems for p-Lévy operators	3
Sobolev gradients of viscosity supersolutions	3
Removable singularities in the boundary for quasilinear elliptic equations	3
The bounded slope condition for parabolic equations with time-dependent integrands	3
Partial regularity of minimizers for double phase functionals with variable exponents	3
Sign-changing solution for an elliptic equation with critical growth at the boundary	3
Existence, uniqueness, and decay results for singular $$\Phi $$-Laplacian systems in $${\mathbb {R}}^N$$	3
Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements	3
Long-time behavior for a non-autonomous Klein–Gordon–Schrödinger system with Yukawa coupling	3
Phase transitions in porous media	3
Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains	3
A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux	3
Solution to a stochastic 3D nonlocal Cahn–Hilliard–Navier–Stokes model with shear dependent viscosity via a splitting-up method	3
Evolutionary stable strategies and cubic vector fields	2
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction	2
Behavior in time of solutions of a Keller–Segel system with flux limitation and source term	2
Local strict singular characteristics II: existence for stationary equations on $${\mathbb {R}}^2$$	2
A convection–diffusion model on a star-shaped graph	2
Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation	2
Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient	2

Geometric regularity theory for a time-dependent Isaacs equation	2
Global stability of three trophic levels predator–prey model with alarm-taxis	2
Nonlinear acoustic equations of fractional higher order at the singular limit	2
Multiplicity results for elliptic problems with critical exponential growth	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
Solutions of a quasilinear Schrödinger–Poisson system with linearly bounded nonlinearities	2
Smooth solutions in a three-dimensional chemotaxis-Stokes system involving Dirichlet boundary conditions for the signal	2
Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents	2
Fixed point theorems and periodic problems for nonlinear Hill’s equation	2
A stochastic representation for the solution of approximated mean curvature flow	2
Nondegenerate solutions for constrained semilinear elliptic problems on Riemannian manifolds	2
On some noncoercive nonlinear problems in unbounded domains	2
Three remarks on the convergence of some discretized second order gradient-like systems	2
Control sets of linear control systems on $$\mathbb {R}^2$$. The real case	2
A damped elastodynamics system under the global injectivity condition: local wellposedness in $$L^p$$-spaces	2
Correction to: Second order local minimal-time mean field games	2
Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems	2
Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data	2
The Fučík spectrum of Schrödinger operators in strongly indefinite cases	2
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations	2
A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate	2
Energy estimates for seminodal solutions to an elliptic system with mixed couplings	2
On the motion of rigid bodies in a perfect fluid	2
Partial regularity of solutions of nonlinear quasimonotone systems via a lower $$L^{p}$$ estimate	2
Boundedness criterion and global solvability for the three-species food chain model with taxis mechanisms	2
Supercritical problems via a fixed point argument on the cone of monotonic functions	2
Properties of set-valued Young integrals and Young differential inclusions generated by sets of Hölder functions	2
A note on averaging for the dispersion-managed NLS	2