THE METHOD OF SUPER-SOLUTIONS IN HARDY AND RELLICH TYPE INEQUALITIES IN THE L² SETTING: AN OVERVIEW OF WELL-KNOWN RESULTS AND SHORT PROOFS.

In this survey we give a compact presentation of well-known functional inequalities of Hardy and Rellich type in the L2 setting. In addition, we give some insights into the proofs by using basic tools with emphasis on the particularities of a more general approach which is the method of super-solutions. [ABSTRACT FROM AUTHOR]