OOIR: Observatory of International Research

Papers

(The TQCC of Analysis & Pde is 4. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Regularity results for generalized double phase functionals	42
On the regularity of minimizers for scalar integral functionals with (p,q)-growth	28
New formulas for the Laplacian of distance functions and applications	24
The stability of the Minkowski space for the Einstein–Vlasov system	22
On an electromagnetic problem in a corner and its applications	21
Energy conservation for the compressible Euler and Navier–Stokes equations with vacuum	20
The Schauder estimate for kinetic integral equations	20
Nuclear dimension of simple stably projectionless C∗-algebras	17
Variations of a class of Monge–Ampère-type functionals and their applications	16
Well-posedness of the hydrostatic Navier–Stokes equations	15
Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves	13
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror	13
On the discrete Fuglede and Pompeiu problems	13
Quantitative estimates in stochastic homogenization for correlated coefficient fields	13
C1,α-regularity for variational problems in the Heisenberg group	11
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	11
The “good” Boussinesq equation : long-time asymptotics	11
Existence and stability of infinite time bubble towers in the energy critical heat equation	10
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions	10
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	10
Regularity of the free boundary for the vectorial Bernoulli problem	10
Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems	10
On the existence of translating solutions of mean curvature flow in slab regions	10
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals	10
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	9

Stable self-similar blow-up for a family of nonlocal transport equations	9
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications	9
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	8
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller	8
Distance graphs and sets of positive upper density in ℝd	8
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	8
Boundary value problems for second-order elliptic operators with complex coefficients	8
Equivariant property (SI) revisited	8
Quantitative comparisons of multiscale geometric properties	7
Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential	7
Singular stochastic integral operators	7
Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem	7
On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi–Nash–Moser regularity	7
The deformed Hermitian Yang–Mills equation on three-folds	7
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities	7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	7
On the propagation of regularity for solutions of the dispersion generalized Benjamin–Ono equation	7
Local and global estimates for hyperbolic equations in Besov–Lipschitz and Triebel–Lizorkin spaces	6
On the expected Betti numbers of the nodal set of random fields	6
Banach space actions and L2-spectral gap	6
The Landau–Pekar equations : adiabatic theorem and accuracy	6
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity	6
Translating solutions to the Gauss curvature flow with flat sides	6
Optimal regularity in time and space for the porous medium equation	6
Estimates for the Navier–Stokes equations in the half-space for nonlocalized data	6
Isolated singularities for semilinear elliptic systems with power-law nonlinearity	5
A∞-weights and compactness of conformal metrics under Ln∕2 curvature bounds	5
Sign-changing solutions for critical equations with Hardy potential	5
Waves interacting with a partially immersed obstacle in the Boussinesq regime	5
Spectral stability of inviscid columnar vortices	5
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	5
Threshold dynamics for corotational wave maps	5
De Branges canonical systems with finite logarithmic integral	5
On the sharp upper bound related to the weak Muckenhoupt–Wheeden conjecture	5
Classical and microlocal analysis of the x-ray transform on Anosov manifolds	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
Wave equations with initial data on compact Cauchy horizons	5
Convex sets evolving by volume-preserving fractional mean curvature flows	5
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows	5
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain	5
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	5
Convex projective surfaces with compatible Weyl connection are hyperbolic	5
Scattering for defocusing energy subcritical nonlinear wave equations	4
Fourier decay of self-similar measures and self-similar sets of uniqueness	4
Distinguished varieties through the Berger-Coburn-Lebow theorem	4
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori	4
Noncommutative Furstenberg boundary	4
When does a perturbed Moser–Trudinger inequality admit an extremal ?	4
The gradient flow of the Möbius energy : ?-regularity and consequences	4
Unconditional existence of conformally hyperbolic Yamabe flows	4

Geometric quantization of coupled Kähler–Einstein metrics	4
Federer’s characterization of sets of finite perimeter in metric spaces	4
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	4
The Peskin problem with viscosity contrast	4
A higher-dimensional Bourgain–Dyatlov fractal uncertainty principle	4
Singularities generated by the triple interaction of semilinear conormal waves	4
Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations	4
External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid	4
Evanescent ergosurface instability	4
Near-critical reflection of internal waves	4
Nonsingular Bernoulli actions of arbitrary Krieger type	4