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Gamma Convergence and Smooth Exact-segregation Approximation for Partially Segregated Systems
We study three-component Dirichlet energies subject to the partial segregation constraint \(u_1u_2u_3=0\). Our main result is a smooth approximation theorem on bounded Lipschitz domains in arbitrary dimension. For compatible nonnegative Lipschitz boundary data, every admissible \(H^1\) configuration
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