Analysis & PDEs
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- On complete Ricci--flat Kähler manifolds
- A variational construction for Einstein metrics on connected sums of S2× S2
- Sharp Moser-Onofri inequality on the CR sphere under zero-moment constraints and its application to the stability of the CR Moser-Onofri inequality
- Time-asymptotic stability of generic Riemann solutions for viscous-dispersive heat-conducting compressible fluids
- Finite-Shift Inverse-Concavity and Exterior Noncollapsing for Fully Nonlinear Curvature Flows of Nonconvex Hypersurfaces
- Explicit finite size corrections for Toeplitz determinants and rectangular domino tilings
- Rayleigh's conjecture for vibrating plates: simpler planar proof and nonlinear extensions
- Numerical Information of Hilbert Space Operators
- A bounded Borel set in the plane none of whose orthogonal projections is Borel
- Duality in Harmonic Analysis and beyond
- Principle of generating critical points of rational functions and Gauss-Fourier conjecture for second-kind zeros
- Weighted composition operators on the Fock space
- Elliptic rearrangement for Poisson equations with mean-zero data
- Recovering the reaction coefficient in a time-fractional diffusion equation with variable coefficients in any spatial dimension
- Higher rank spectral projector estimates and a Stein--Tomas restriction theorem
- Property (R) with its stability for analytic functional system and under compact perturbations
- Monotonicity and evolution of total isoperimetric profiles under Minkowski regularization
- Numerical Shadow Rigidity for 3x3 Matrices
- Sharp spherical Lp→ L4 extension estimates over finite fields in odd dimensions
- Sharp Brezis--Merle Inequalities for Polyharmonic Dirichlet Problems: Extremal Measures and Critical Asymptotics
- Global existence for the semilinear regular Euler-Poisson-Darboux-Tricomi equation, II
- Harnack-type inequalities for nonlocal parabolic equations in the upper fast-diffusion range
- Cartan Subalgebras of Dimension Drop Interval Algebras and Their Inductive Limits
- Cyclic group tensors and the volume ratio of projective tensor products
- Lp-Liouville properties and realizations of Schrödinger operators on incomplete Riemannian manifolds