The gradient of any local minimiser of functionals of the type (Formula presented.), where f has p-growth, p > 1, and (Formula presented.), is continuous provided that the optimal Lorentz space condition (Formula presented.) is satisfied and (Formula presented.) is suitably Dini continuous.
Borderline gradient continuity of minima / Baroni, Paolo; Kuusi, Tuomo; Mingione, Giuseppe. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - 15:2(2014), pp. 537-575. [10.1007/s11784-014-0188-x]
Borderline gradient continuity of minima
Baroni, Paolo;MINGIONE, Giuseppe
2014-01-01
Abstract
The gradient of any local minimiser of functionals of the type (Formula presented.), where f has p-growth, p > 1, and (Formula presented.), is continuous provided that the optimal Lorentz space condition (Formula presented.) is satisfied and (Formula presented.) is suitably Dini continuous.File in questo prodotto:
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