Pure and Applied Mathematics Quarterly

Fundamental Solutions for a Family of Sub-elliptic PDEs

Minkowski Type Problems for Convex Hypersurfaces in the Sphere

Vector-valued Singular Integral Operators with Non-smooth Kernels and Related Multilinear Commutators

Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions

A Short Proof for the Convergence of the Yamabe Flow on Sn

Maps of Bounded Variation with Values into a Manifold: Total Variation and Relaxed Energy

A Variational Formula for Stochastic Controls and Some Applications

Existence and Regularity of Stable Branched Minimal Hypersurfaces

Heat Flow of Biharmonic Maps in Dimensions Four and Its Application

Sobolev Critical Exponents of Rational Homotopy Groups