Non-Lipschitz minimizers of smooth uniformly convex functionals.
basic_science · Level V
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- Record sourced from PubMed, PMID 12403822.
- Also identified by PMC identifier 137705.
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Abstract
We construct non-Lipschitz minimizers of smooth, uniformly convex functionals of type I(u) = integral (Omega) f(Du(x))dx. Our method is based on the use of null Lagrangians.