Compactness and dichotomy in nonlocal shape optimization
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DOI: 10.1002/mana.201800234
Abstract: We prove a general result about the behaviour of minimizing sequences for nonlocal shape functionals satisfying suitable structural assumptions. Typical examples include functions of the eigenvalues of the fractional Laplacian under homogeneous Dirichlet boundary conditions.… read more here.
Keywords: shape; shape optimization; dichotomy nonlocal; compactness dichotomy ... See more keywords