Tianyu Zhang

The Following definitions are from the book Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis and Convex Analysis by Rockafellar RT. Aside from the basic definitions, these definitions have tiny size so there will be no attached files associated with the following contents, however, one may find the pdf version by clicking the address short after this intro section.

### Epigraph

#### Definition

#### Competitive Definition

#### Reference

Functional Analysis, Sobolev Spaces and Partial Differential Equations, Haim Brezis, Chapter I(Definition)

Convex Analysis, Rockafellar RT, Chapter 1 Section 4(Competitive Definition)

#### Related Topics

- Definitions
- Theorems/Corollary/Propositions/Lemmas