Analysis & PDEs
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- Global solvability with arbitrary mass for a chemotaxis--fluid model with sensitivity growth between linear and quadratic
- Dirac Points in High-Contrast Dielectric Honeycomb Structures
- Fractional elementary symmetric functions and Hessian estimates in the plane
- On the Arnold corank, the Zariski multiplicity, and the tangent Milnor fiber problems
- Uniqueness of Limit Cycles for Abel Equations and Planar Systems
- Nondegeneracy and asymptotic behavior of type I blow-up for semilinear heat equations with general nonlinearities
- Sharp Global Well-Posedness for the Logarithmically Regularized 2D Euler Equations
- Global well-posedness for a damped two dimensional fluid--beam system
- Blow-down and immediate onset of positivity in the Neumann problem for (super-)fast diffusion equations
- The sharp constant in the Chang--Marshall inequality
- Inverse limits of locally convex Lie groupoids
- Global minimality of lamellae for isotropic Ohta--Kawasaki and Yukawa energies
- Radius of Ma-Minda Starlikeness and Convexity for Functions with Bounded Second Derivative
- Interior regularity of mixed local-nonlocal parabolic semilinear equations
- Regularity for H-systems of bounded distortion
- Extreme points of the unit balls and isometries of noncommutative quasi-Banach Marcinkiewicz spaces
- Sharp Neumann eigenvalue means on triangles
- The Critical Value for the Beurling-Type Theorem in Weighted Bergman Spaces
- Deep kernel hedging
- Divergence Liftings and Regular Factorizations for Metric Cotype
- Scattering below the ground state for the three-dimensional focusing energy-critical NLS
- The ultraspherical background of the Jacobi phase expansion, in closed form
- Critical Caffarelli-Kohn-Nirenberg inequalities via nonlinear scaling argument
- Projection geometry and relaxed quasi-orthogonality for inf-sup stable Galerkin methods
- Optimal Linear Dependence on Boundary Type for Local Gromov Hyperbolicity of the Kobayashi Metric