Analysis & PDEs
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- Global regularity for a class of degenerate/singular Monge-Ampère equations
- Genus Increase in Closed Mean Curvature Flows
- Homogenization of the Stokes equations in a domain perforated by a thin truss
- Homogenization of the Stokes equations with slender bodies
- Sharp Variational estimates for Schrödinger equation in ℝ2
- New Newton-type inequality and a unified perspective on Maclaurin's inequality via the inclusion relations of cones
- Observability of wave equations with time- and space-dependent potentials: a counterexample under GCC and a positive criterion on the disk
- Local rigidity of conformally Euclidean metrics for the anisotropic Helmholtz equation at fixed energy
- Classification of boundary blow-ups for the Mumford-Shah functional with Dirichlet boundary conditions
- Weighted configurations and the nonexistence of arithmetic ball quotient compactifications
- Seven ordered points and the nonexistence of arithmetic ball quotient compactifications
- Transference principles for divergence sets of dispersive equations and their applications
- Extensions of Operator Systems, Hyperrigidity and Quantum Double Suspension
- Failure of local extension of semipositive metrics in a smooth projective family
- A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups
- Topology, Morse Index, and Area of Minimal Surfaces in Three-Manifolds
- Reconstruction of Heat Geometry from a Scalar Process
- Hyperbolic area of Fatou components and new proofs of no-wandering-domain theorems
- Blaschke Conjecture and Complex Geometry
- A Framework for Supervised and Unsupervised Learning via Reproducing Kernel Hilbert Spaces
- A dichotomy for minimal submanifolds
- On the embedding rigidity problem for uniformly locally finite coarse spaces
- Elliptic Superlevel Sets in the Class OOC: Boundary-Layer Geometry and Stability of the Return Map
- Uniqueness of the blow-up for some Alt-Phillips cones
- Minimal submanifolds confined in space