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arXiv:1508.01362 [math.AP]AbstractReferencesReviewsResources

Convex integration for the Monge-Ampère equation in two dimensions

Marta Lewicka, Mohammad Reza Pakzad

Published 2015-08-06Version 1

This paper concerns the questions of flexibility and rigidity of solutions to the Monge-Amp\`ere equation which arises as a natural geometrical constraint in prestrained nonlinear elasticity. In particular, we focus on degenerate i.e. "flexible" weak solutions that can be constructed through methods of convex integration \`a la Nash \& Kuiper.

Comments: 31 pages, 1 figure
Categories: math.AP, math-ph, math.DG, math.MP
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