Lower semicontinuity, Stoilow factorization and principal maps

act. We consider a refinement of the usual quasiconvexity condition of Morrey in two dimensions that allows us to prove lower semicontinuity and existence of minimizers for a class of functionals which are unbounded as the determinant vanishes and are non-polyconvex in general. This notion, that we...

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Bibliographic Details
Main Authors: Astala, K, Faraco, D, Guerra, A, Koski, A, Kristensen, JAN
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2024