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Volume 5, Issue 1
Everywhere Regularity for Weak Solutions to Variational Inequalities of Triangular Form

Lou Zhuoming, Chen Baoyao

J. Part. Diff. Eq.,5(1992),pp.57-68

Published online: 1992-05

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  • Abstract
In this paper, we obtain two results of weak solutions to variational inequalities of triangular form under controllable growth and a class of natural growth conditions, i.e. 1^°. L^p-estimate for the gradient; 2^°. C^{1,β}_{loc}(Ω, R^N) regularity.
  • Keywords

Regularity variational inequality of triangular form diagonal elliptic condition

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@Article{JPDE-5-57, author = {Lou Zhuoming, Chen Baoyao}, title = {Everywhere Regularity for Weak Solutions to Variational Inequalities of Triangular Form}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {1}, pages = {57--68}, abstract = { In this paper, we obtain two results of weak solutions to variational inequalities of triangular form under controllable growth and a class of natural growth conditions, i.e. 1^°. L^p-estimate for the gradient; 2^°. C^{1,β}_{loc}(Ω, R^N) regularity.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5729.html} }
TY - JOUR T1 - Everywhere Regularity for Weak Solutions to Variational Inequalities of Triangular Form AU - Lou Zhuoming, Chen Baoyao JO - Journal of Partial Differential Equations VL - 1 SP - 57 EP - 68 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5729.html KW - Regularity KW - variational inequality of triangular form KW - diagonal elliptic condition AB - In this paper, we obtain two results of weak solutions to variational inequalities of triangular form under controllable growth and a class of natural growth conditions, i.e. 1^°. L^p-estimate for the gradient; 2^°. C^{1,β}_{loc}(Ω, R^N) regularity.
Lou Zhuoming, Chen Baoyao. (1992). Everywhere Regularity for Weak Solutions to Variational Inequalities of Triangular Form. Journal of Partial Differential Equations. 5 (1). 57-68. doi:
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