Twodimensional Variational Problems With A Wide Range Of Anisotropy
نویسنده
چکیده
We consider local minimizers u : R 2 ⊃ Ω → R M of the variational integral Ω H(∇u) dx with density H growing at least quadratically and allowing a very large scale of anisotropy. We discuss higher integrability properties of ∇u as well as the differentiability of u in the classical sense. Moreover, a Liouville-type theorem is established.
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