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This book collects together lectures by some of the leaders in the
field of partial differential equations and geometric measure
theory. It features a wide variety of research topics in which a
crucial role is played by the interaction of fine analytic
techniques and deep geometric observations, combining the intuitive
and geometric aspects of mathematics with analytical ideas and
variational methods. The problems addressed are challenging and
complex, and often require the use of several refined techniques to
overcome the major difficulties encountered. The lectures, given
during the course "Partial Differential Equations and Geometric
Measure Theory'' in Cetraro, June 2-7, 2014, should help to
encourage further research in the area. The enthusiasm of the
speakers and the participants of this CIME course is reflected in
the text.
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