2000 character limit reached
Convex integration for the Monge-Ampère equation in two dimensions
Published 6 Aug 2015 in math.AP, math-ph, math.DG, and math.MP | (1508.01362v2)
Abstract: 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 anomalous i.e. "flexible" weak solutions that can be constructed through methods of convex integration `a la Nash & Kuiper and establish the related h-principle for the Monge-Amp`ere equation in two dimensions
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
