The term "weakly differentiable functions" in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is es

This self-contained book brings together the important results of a rapidly growing area.As a starting point it presents the classic results of the theory. The

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of