Analysis & PDEs
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- A Liouville theorem for plurisubharmonic functions with periodic complex Monge-Ampère measure
- Rigidity of Kähler-Finsler Metrics with Constant Radial Curvature
- The Hénon equation beyond the critical Sobolev exponent
- Petty's equilateral-set conjecture in dimension five
- Sharp regularity for the anisotropic fractional Laplacian with Morrey data
- Variational characterization of principal eigenvalues for a general class of linear weighted BVP's under mixed boundary conditions of non-classical type
- A Semigroup-Aware Kernel Neural Operator with Latent Exponential Integration for Forced PDEs
- Instability theory of stationary solutions for nonlinear Schrödinger equations
- Klein-Gordon-Born-Infeld equations driven by mixed local-nonlocal operators
- Euler--Lagrange Flow Monotonicity for the Radon Transform
- A complete theory of local minimizers for periodic variational problems
- Arbitrary Dirichlet Eigenvalue Multiplicities on Smooth Star-Shaped Euclidean Domains
- The Gleason--Kahane--Zelazko theorem: a gentle introduction
- Wulff Rigidity for Overdetermined Anisotropic k-Hessian Equations
- A Transfer Principle for Elliptic Carleman Estimates: Application to Discrete Calderón Stability
- The Berry--Esseen estimate in the Boolean central limit theorem
- Lp integrability of functions with Fourier support on High codimension manifolds
- Optimality of the BCC lattice among 3D lattice quantizers
- The fundamental solution of a family of anisotropic fourth-order parabolic equations: small-time asymptotics and related Gaussian estimates
- A sharp lower bound for torsional rigidity of convex domains
- A new sharp Sobolev inequality between the Q-curvature and the scalar curvature on Euclidean space
- Symmetry and uniqueness of degree −1 minimizers of a chiral magnetic energy
- Lipschitz regularity of Sobolev maps from RCD(K,N) spaces to CAT(0) spaces
- Quasi-crystalline phase separation in one dimension
- Spectral Characterization, Local Rigidity and Morse Index of Bubble Solutions to the CR Fractional Yamabe Problem