Regularity Results for Nonlinear Systems of Partial Differential Equations Under Weak Ellipticity Conditions
Year: 2000
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 217–225
Abstract
We prove C^{1,α} almost everywhere regularity for weak solutions in the space W^{1,k} (Ω, R^N) of the systems - D_αA^i_α(x,u,Du) = B^i(z,u,Du) under the weak ellipticity condition ∫A(x_0 ,u, p + DΦ) ⋅ DΦdy ≥ λ ∫ (|DΦ|² + |DΦ|^k)dy.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JPDE-5508
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 217–225
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Regularity