Partial regularity for minimisers of certain functionals having nonquadratic growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Partial regularity for minimisers of certain functionals having nonquadratic growth

Authors:

Affiliation:

1. Dipartimento di Matematica, via Mezzocannone 8, 80134, Napoli, Italia
2. Department of Mathematics, Faculty of Science and Centre for Mathematical Analysis, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia

Abstract:

We prove partial regularity results for local minimisers of

$begin{array}{*{20}c} {intlimits_Omega {(G^{alpha beta } (x,u)g_{ij} (x,u)D_alpha u^i D_beta u^j )^{{p mathord{left/ {vphantom {p 2}} right. kern-nulldelimiterspace} 2}} ,} } & {where p geqslant 2.} end{array}$

Keywords:
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