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This monograph considers the analytical and geometrical questions emerging from the study of thin elastic films that exhibit residual stress at free equilibria. It provides the comprehensive account, the details and background on the most recent results in the combined research perspective on the classical themes: in Differential Geometry – that of isometrically embedding a shape with a given metric in an ambient space of possibly different dimension, and in Calculus of Variations – that of minimizing non-convex energy functionals parametrized by a quantity in whose limit the functionals become degenerate. Prestressed thin films are present in many contexts and applications, such as: gro...
This book is meant as a work-table guide for the student and as a time-saver for the teacher; hence all the necessary material should be immediately at hand. The instructor's concern in the teaching of narrative writing is just the twofold one mentioned before—to orientate the young scribbler and to give him a quick and sure inspiration. After that, he is to be left alone to write, and the fewer the books around him the better.
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