Sobolev mappings in W^{1,n} with positive Jacobian a.e. and prescribed homeomorphic boundary values are globally invertible monotone surjections onto the target domain.
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Global invertibility of Sobolev mappings with prescribed homeomorphic boundary values
Sobolev mappings in W^{1,n} with positive Jacobian a.e. and prescribed homeomorphic boundary values are globally invertible monotone surjections onto the target domain.