• Introduction.- Divergence Operator.- Korn's Inequalities.- Singular Domains.- Basic Equations of Continuum Mechanics.- Powers of the Distance to the Boundary as Ap Weights.- An Auxiliary Result on Holder a Domains.

“This book is a very nice introduction to many central topics in PDEs regarding the existence of a right inverse of the divergence operator divp, which is strongly related to the Korn inequality, Stokes equation, etc. … These features certainly make this Springer Briefs manuscript very useful for students, postgraduate students, and researchers as well. (Javier Soria, zbMATH 1394.35001, 2018)“This book gives a detailed discussion of two basic inequalities that are of fundamental importance in a variety of fields and discusses how their validity connects to geometric properties of the underlying domain. … The book is nicely written, hints at open problems and is supplemented withmany informative figures.” (Stefan Steinerberger, Mathematical Reviews, October, 2017)