Collating different aspects of Vector-valued Partial Differential
Equations and Applications, this volume is based on the 2013 CIME
Course with the same name which took place at Cetraro, Italy, under the
scientific direction of John Ball and Paolo Marcellini. It contains the
following contributions: The pullback equation (Bernard Dacorogna),
The stability of the isoperimetric inequality (Nicola Fusco),
Mathematical problems in thin elastic sheets: scaling limits, packing,
crumpling and singularities (Stefan Müller), and Aspects of PDEs
related to fluid flows (Vladimir Sverák). These lectures are addressed
to graduate students and researchers in the field.