Analysis & PDEs
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- Generalised hyperbolic polynomials: combinatorial interpretation and real-rootedness
- An L2 Ahlfors--Beurling inequality in every dimension
- Bore wave solutions to the viscous Saint-Venant system with capillarity
- Uniqueness and comparison principle for Trudinger's parabolic equation with Hölder continuous boundary values
- The generalized Cartan-Hadamard conjecture
- An alternative variational approach to constrained critical points for nonlinear Schrödinger equations with combined nonlinearities
- Sharp L4 Strichartz estimate for the Zakharov--Kuznetsov equation on ℝ×𝕋
- Homogenization of degenerate parabolic equations with nonlinear Robin reactions in perforated domains
- Arithmetic Poisson summation formulas
- Quantitative K-homology of uniform Roe algebras
- Extremals for Trudinger-Moser inequalities via polygonal profiles
- Recovery of Rough Sources in the Inverse Monge-Ampère Problem
- Refinements on the Restriction and Kakeya problems range in ℝ4
- Interior curvature estimates for convex solutions of a prescribed curvature quotient equation
- Diffraction of rotated measures
- Hierarchical Laminates Cannot Reproduce All Effective Properties of Planar Two-Phase Composites: A Counterexample with a 16-Component Potential
- Higher-order Approximate Symmetries
- Sharp Stability of Brenier Potentials and its Link to Poincaré Inequalities
- Nonuniqueness of Solutions to 2D Incompressible Euler Equations with Unbounded Vorticity
- Applications of the fixed point theorem for mappings contracting perimeters of triangles: ODEs, PDEs, integer and difference equations
- Diffusive-dispersive traveling waves and kinetic relations. Generic flux with multiple inflection points
- Polynomial automorphisms of C^2 with the same equilibrium measure
- Every route counts, but some count more: a max-plus view of the C. elegans brain
- Escape of mass for finite-area hyperbolic surfaces
- Vanishing theorems for L2 Dolbeault cohomology groups of projective Hartogs triangles