Regularity Theory

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Abstract

The weak solutions of the p-harmonic equation are, by definition, members of the Sobolev space. In fact, they are also of class. More precisely, a weak solution can be redefined in a set of Lebesgue measure zero, so that the new function is locally Hölder continuous with exponent.

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APA

Lindqvist, P. (2019). Regularity Theory. In SpringerBriefs in Mathematics (pp. 17–28). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-030-14501-9_3

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