Habermann J (2013)
Publication Type: Journal article
Publication year: 2013
Publisher: Springer Verlag (Germany)
Book Volume: 192
Pages Range: 475-527
Journal Issue: 3
DOI: 10.1007/s10231-011-0233-y
For weak solutions of nonlinear elliptic systems of the type -diva(x, u(x), Du(x)) = 0, with nonstandard p(x) growth, we show interior partial Hölder continuity for any Hölder exponent α ∈ (0,1), provided that the exponent function is 'logarithmic Hölder continuous'. The result also covers the up to now open partial regularity for systems with constant growth with exponent p less than two in the case of merely continuous dependence on the spacial variable x. © 2011 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.
APA:
Habermann, J. (2013). Partial regularity for nonlinear elliptic systems with continuous growth exponent. Annali Di Matematica Pura Ed Applicata, 192(3), 475-527. https://dx.doi.org/10.1007/s10231-011-0233-y
MLA:
Habermann, Jens. "Partial regularity for nonlinear elliptic systems with continuous growth exponent." Annali Di Matematica Pura Ed Applicata 192.3 (2013): 475-527.
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