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Hölder continuity and partial Hölder continuity results forH 1,q-solutions of non-linear elliptic systems with controlled growth

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Si studia la regolarità holderiana globale, o la regolarità holderiana parziale, delleH 1,q-soluzioni,q>1, di un sistema non lineare, fortemente ellittico e con andamenti controllati.

Summary

The global Hölder continuity—or the partial Hölder continuity —of theH 1,q-solutions, withq>1, of nonlinear strongly elliptic systems is studied, under controlled growth.

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Lavoro dedicato a L. Amerio

(Conferenza tenuta il 4 novembre 1982)

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Campanato, S. Hölder continuity and partial Hölder continuity results forH 1,q-solutions of non-linear elliptic systems with controlled growth. Seminario Mat. e. Fis. di Milano 52, 435–472 (1982). https://doi.org/10.1007/BF02925024

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