,REGULARITY RESULTS FOR NONLINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS UNDER WEAKrnELLIPTICITY

来源 :偏微分方程（英文版） | 被引量 : 0次 | 上传用户：benq702

【摘要】

：

We prove C1,α almost everywhere regularity for weak solutions in the space W1,k(ΩΩ, RN) of the systems -DαAia(x, u, Du) = Bi(x, u, Du) under the weak / A(x0

【作者】

：

Zeng Yuesheng

【机构】

：

Huaihua Teacher’s College, Huaihua 418008, Hunan, China

【出处】

：

偏微分方程（英文版）

【发表日期】

：

2000年3期

【关键词】

：

Regularity nonlinear system ellipticity weak solution Lipschitz continuity.

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论文部分内容阅读

We prove C1,α almost everywhere regularity for weak solutions in the space W1,k(ΩΩ, RN) of the systems -DαAia(x, u, Du) = Bi(x, u, Du) under the weak / A(x0, u,p + Dφ). Dφdy _＞ λ/(|DФ|2 + |DФ|k)dy.

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,REGULARITY RESULTS FOR NONLINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS UNDER WEAKrnELLIPTICITY

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