NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY

Abstract

ContentsIntroduction § 1. Banach manifolds and their maps § 2. The degree of a Fredholm map § 3. Equivariant Fredholm maps § 4. Solubility of equations with Fredholm operators § 5. Some applications to existence theorems for differential equations § 6. Complete and local invertibility of proper maps § 7. Intersection indicesReferences