Hot Spots: From Smooth to Nonsmooth Simply Connected Planar Domains arXiv:2610.32920 Modified scattering for the 3D Hartree equation with singular extern... arXiv:2610.32939

Hardy inequalities on the positive integer lattice: a dimensional tr... arXiv:2610.32858 From entropy waves to vortex sheets for the Euler equations arXiv:2610.32893 Stationary bistable fronts on a periodic necklace graph: existence, ... arXiv:2610.32917

Homogenization of the Stokes equations in a domain perforated by a t... arXiv:2610.32804 The Two-Dimensional Narrow Escape Problem with Deterministic Initial... arXiv:2610.32829 Self-similar solutions for the gSQG patch equations arXiv:2610.32857

Sharpness transitions for weighted Triebel--Lizorkin Hardy inequalit... arXiv:2610.32671 Finitely many solutions for the prescribed scalar curvature problem ... arXiv:2610.32707 Corner Regularity and Asymptotics for the Two-Dimensional Radiation ... arXiv:2610.32732

From kinetic activation dynamics to Holling type reaction-diffusion ... arXiv:2610.32603 The effect of the permeability in interface problems: impermeable ba... arXiv:2610.32607 Inverse problems and continuity of heat content coefficients arXiv:2610.32613

Uniform Regularity for the Compressible Navier-Stokes-Poisson System... arXiv:2610.32454 Characterization of intrinsic parabolic Harnack inequalities for dou... arXiv:2610.32496 New time-periodic solutions to the cubic conformal wave equation on ... arXiv:2610.32600

Peaking self-similar solutions and continuation after blow-up for a ... arXiv:2610.32304 Bilinear Strichartz estimates on the hyperbolic space and the cubic NLS arXiv:2610.32358 Energies with values in networks and geometric quasiconvexity arXiv:2610.32444

Semilinear Schr\"{o}dinger equation with harmonic potential and comb... arXiv:2610.32274 Geometry property of stochastic parabolic equations and Pr\'{e}kopa-... arXiv:2610.32288 Optimal time decay of the Boltzmann equation with cutoff soft potent... arXiv:2610.32296

Coupling perturbations of the conformal Einstein-Dirac system on rou... arXiv:2610.32172 Gagliardo--Nirenberg extremals on manifolds with small holes arXiv:2610.32173 Well-posedness for the Cubic Nonlinear Schr\"odinger Equation With N... arXiv:2610.32180

Weighted and nonlocal Poisson equations on domains with capacity den... arXiv:2610.32070 Well-posedness for p(x)-Laplacian parabolic equations under a multip... arXiv:2610.32083 Linear Stability and a Turning Point Principle for Barotropic Liquid... arXiv:2610.32138

A frame-indifferent rank-one convex function in three dimensions whi... arXiv:2610.31886 Global regularity for 3D large spherically symmetric degenerate comp... arXiv:2610.32062 Global recovery of a scalar diffusivity from a single final state arXiv:2610.32063

Sharp fractional Hardy--Maz'ya remainders on half-spaces: angular re... arXiv:2610.31595 Non-uniqueness for the forced one-dimensional Vlasov-Poisson equation arXiv:2610.31629 Quantitative constructive representation of the KdV flow in H^3 via ... arXiv:2610.31634

A spectral multiplier theorem for fractional Hardy operators arXiv:2610.31532 Boltzmann Equation and Hard Sphere Gas with Singular Initial Data: W... arXiv:2610.31570 A Sharp Gradient Harnack Estimate for the Lane--Emden System arXiv:2610.31584

Asymptotic observable symmetry for spacetime observability of waves ... arXiv:2610.31477 Homogenization of the Stokes equations with slender bodies arXiv:2610.31480 Liouville-type theorems and perturbation uniqueness for stationary i... arXiv:2610.31517

Boundary regularity of k-Hessian eigenfunctions arXiv:2610.31445 On exact solutions to three-dimensional Yukawa lattice model and BCC... arXiv:2610.31456 Uniform coarse ellipticity, A_2 weights, and boundary regularity arXiv:2610.31463

Concavity of the Ornstein--Uhlenbeck torsion function on centered el... arXiv:2610.31405 A hybrid finite-volume scheme with learned rational reconstructions ... arXiv:2610.31419 A special Hardy estimate in the axisymmetric swirl problem arXiv:2610.31435

A New Minimax Theorem for a Class of C^1-Functionals arXiv:2610.31262 Radial \Phi^4 models in supercritical regimes arXiv:2610.31267 Sharp stability for the Talenti inequality arXiv:2610.31369

Sharp quantitative stability of the Ashbaugh--Benguria inequality arXiv:2610.31223 Sparse power spectrum for passive scalars under Pierrehumbert flow arXiv:2610.31241 Chaos of Caputo derivative arXiv:2610.31255

Well-posedness of a stress-augmented Moore-Gibson-Thompson-type mode... arXiv:2610.31134 Grushin spherical harmonics in non-degenerate dimension one arXiv:2610.31137 Liouville Theorems and Sharp Homogeneity Defects for Weighted Potent... arXiv:2610.31167

A sharp isoperimetric bound for the ratio of the fifth and fourth ei... arXiv:2610.31088 Sharp CR Beckner-Onofri inequalities under high-order holomorphic mo... arXiv:2610.31092 Quantitative positivity properties of the temperature in multi-dimen... arXiv:2610.31124