A new Sobolev-space theory for nonlocal gradients with space-dependent horizons is developed, including trace, Poincare, and existence results for nonlocal hyperelasticity with local boundary conditions.
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Local boundary conditions in nonlocal hyperelasticity via heterogeneous horizons
A new Sobolev-space theory for nonlocal gradients with space-dependent horizons is developed, including trace, Poincare, and existence results for nonlocal hyperelasticity with local boundary conditions.