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Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure

Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure

We consider multidimensional variational integrals for vector-valued functions u : R n ⊃ → R N .Assuming that the integrand satisfies the standard smoothness, convexity and growth assumptions only near ∞ we investigate the partial regularity of minimizers (and generalized minimizers)we prove that R(u) is dense in , but we …