Potentials and partial differential equations : the legacy of David R. Adams.

Format:

Book

Author/Creator:

Lenhart, Suzanne.

Contributor:

Xiao, Jie.

Series:

Advances in Analysis and Geometry Series

Advances in Analysis and Geometry Series ; v.8

Language:

English

Subjects (All):

Calculus of variations.

Differential equations, Partial.

Differential calculus.

Calculus, Integral.

Integral geometry.

Harmonic analysis.

Physical Description:

1 online resource (298 pages)

Edition:

1st ed.

Other Title:

Potentials and Partial Differential Equations

Place of Publication:

Berlin/Boston : Walter de Gruyter GmbH, 2023.

Summary:

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.

Contents:

Intro

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&lt

sup&gt

N&lt

/sup&gt

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783110792720

3110792729

OCLC:

1378935742