Analysis & Pde

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
The Schauder estimate for kinetic integral equations	20
Energy conservation for the compressible Euler and Navier–Stokes equations with vacuum	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
Quantitative estimates in stochastic homogenization for correlated coefficient fields	13
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
The “good” Boussinesq equation : long-time asymptotics	11
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
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
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
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications	9

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
Boundary value problems for second-order elliptic operators with complex coefficients	8
Equivariant property (SI) revisited	8
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
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
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
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
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
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
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
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
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
Some refinements of the partial C0 estimate	3
Brown–Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs	3
Lifting in compact covering spaces for fractional Sobolev mappings	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Propagation properties of reaction-diffusion equations in periodic domains	3
Potential well theory for the derivative nonlinear Schrödinger equation	3
Weak solutions to the quaternionic Monge–Ampère equation	3
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	3
Serrin’s overdetermined problem for fully nonlinear nonelliptic equations	3
An asymptotic expansion of two-bubble wave maps in high equivariance classes	3
Multilayer potentials for higher-order systems in rough domains	3
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	3
Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics	3
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation	3
Liouville-type theorems for minimal graphs over manifolds	3
Optimal asymptotic bounds for designs on manifolds	3
Strong semiclassical limits from Hartree and Hartree–Fock to Vlasov–Poisson equations	3
Time optimal observability for Grushin Schrödinger equation	3
Strichartz estimates for the Schrödinger flow on compact Lie groups	3
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications	3
Stability and instability in scalar balance laws: fronts and periodic waves	3
Sharp reachability results for the heat equation in one space dimension	2
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	2
Multipliers and operator space structure of weak product spaces	2
L2-boundedness of gradients of single-layer potentials and uniform rectifiability	2
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	2
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	2
Quasiperiodic solutions of NLS with Liouvillean frequencies	2
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	2
On the global behaviors for defocusing semilinear wave equations in ℝ1+2	2
A gap theorem for α-harmonic maps between two-spheres	2
Global existence and scattering for quadratic NLS with potential in three dimensions	2
Parabolic Lp Dirichlet boundary value problem and VMO-type time-varying domains	2
Turbulent cascades in a truncation of the cubic Szegő equation and related systems	2
IDA and Hankel operators on Fock spaces	2
On the global bifurcation diagram of the Gelfand problem	2
Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators	2
Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy	2
Weighted integrability of polyharmonic functions in the higher-dimensional case	2
Restriction of toral eigenfunctions to totally geodesic submanifolds	2
The strong topology of ω-plurisubharmonic functions	2
Mergelyan approximation theorem for holomorphic Legendrian curves	2
An elementary approach to free entropy theory for convex potentials	2
A Szemerédi-type theorem for subsets of the unit cube	2
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	2
Long time existence of Yamabe flow on singular spaces with positive Yamabe constant	2
Disentanglement, multilinear duality and factorisation for nonpositive operators	2
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	2
Global well-posedness and scattering for the defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2	2
On the Ashbaugh–Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian	1
Strong ill-posedness for SQG in critical Sobolev spaces	1
Pointwise differentiability of higher-order for distributions	1
Sharp pointwise and uniform estimates for ∂	1
A characterization of the Razak–Jacelon algebra	1
Global eigenvalue distribution of matrices defined by the skew-shift	1
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	1
Volume comparison with respect to scalar curvature	1
Parametrix for a semiclassical subelliptic operator	1
Convergence over fractals for the periodic Schrödinger equation	1
Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces	1
Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary	1
On the well-posedness problem for the derivative nonlinear Schrödinger equation	1
Maximal rigid subalgebras of deformations and L2-cohomology	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
Sobolev functions without compactly supported approximations	1
Talagrand’s influence inequality revisited	1
Quantitative Obata’s theorem	1
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	1
The regularity of the boundary of vortex patches for some nonlinear transport equations	1

Arnold’s variational principle and its application to the stability of planar vortices	1
Garland’s method with Banach coefficients	1
On blowup for the supercritical quadratic wave equation	1
Recurrence for smooth curves in the moduli space and an application to the billiard flow on nibbled ellipses	1
Nonuniform stability of damped contraction semigroups	1
The Cauchy problem for the infinitesimal model in the regime of small variance	1
A Cheeger–Müller theorem for manifolds with wedge singularities	1
Geometric regularity for elliptic equations in double-divergence form	1
Renormalization of determinant lines in quantum field theory	1
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	1
Finite-time blowup for a Navier–Stokes model equation for the self-amplification of strain	1
Commutator method for averaging lemmas	1
Monge–Ampère gravitation as a Γ-limit of good rate functions	1
A splitting lemma for coherent sheaves	1
Least gradient problem on annuli	1
Perturbed interpolation formulae and applications	1
Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle	1
A simple nuclear C∗-algebra with an internal asymmetry	1
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	1
Improved bounds for restricted projection families via weighted Fourier restriction	1
Epsilon-regularity for p-harmonic maps at a free boundary on a sphere	1
Eigenvalue estimates for Kato-type Ricci curvature conditions	1
Second Ricci flow on noncompact Hermitian manifolds	1
Exponential convergence of parabolic optimal transport on bounded domains	1
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	1
On nonuniqueness of Hölder continuous globally dissipative Euler flows	1
Discrete velocity Boltzmann equations in the plane: stationary solutions	1
h-principle for the 2-dimensional incompressible porous media equation with viscosity jump	1