Potentials and Partial Differential Equations: The Legacy of David R. Adams (Advances in Analysis and Geometry, 8)

This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry. Foreword Contents Yau’s conjecture on the dimension of harmonic polynomials On Carrasco Piaggio’s theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces On trace theorems for weighted mixed-norm Sobolev spaces and applications Sharp stability of the logarithmic Sobolev inequality in the critical point setting On a variational problem of nematic liquid crystal droplets Estimates for the variable order Riesz potential with applications A remark on the atomic decomposition in Hardy spaces based on the convexification of ball Banach spaces A Bliss–Adams inequality Trudinger-type inequalities in R N with radial increasing mass-weight In response to David R. Adams’ October 12, 2001, letter Some remarks on capacitary integrals and measure theory Remarks on vector-valued Gagliardo and Poincaré–Sobolev-type inequalities with weights Index