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Non-uniqueness conjecture for energy minimisers in the Dirichlet problem
Let $B$ be the domain, let $f$ be prescribed Jacobian data, and consider the Dirichlet problem of minimising the relevant energy among maps with Jacobian $f$ and the prescribed bou…
Conjectureopencalculus-of-variations energy-minimisation jacobian-equationsarXiv posted 2 days ago

Non-uniqueness conjecture for energy minimisers in the Dirichlet problem