Quasiconvexity and weak convergence in nonlinear analysis

Thesis

The present thesis addresses a broad range of weak convergence problems arising in Nonlinear Analysis. The thesis is divided into three related but essentially independent parts.

In the first part we study the general theory of Compensated Compactness. We begin by giving a new characterization of partial differential operators with constant rank, a mild non-degeneracy assumption which plays an important role in the theory. We then characterize completely the class of nonlinearities...

Expand abstract

Authors: Guerra, A

• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: Homogenization; Compensated Compactness; Jacobian; Quasiconvexity; Weak convergence
• Subjects: Differential equations, Partial