单侧障碍问题解梯度的Hölder连续性<sup>*</sup>

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单侧障碍问题解梯度的Hölder连续性^*

基金项目: * 中山大学自然科学基金资助

摘要: 对1G{∇v·A(x,u,∇u)+vB(x,u,∇u)}dx≥0,∀v∈(G),v≥ψ-u单侧障碍问题解梯度的Hölder连续性.
- 变分不等式 /
- 障碍问题 /
- 梯度 /
- Hölder不等式
Abstract: There is a gap in case 1<p<2 to the C^1+a regularity for solutions of variational inequalities with degenerate ellipticity.In this paper, basad on the fundamental of the C^0+a. reglarity of solutions,the Holder continuity for the gradient of solutions is proved in case 1<p<2 to a one-sided obstacle problem for variational inequalities ∫_G{∇v·A(x,u,∇u)+vB(x,u,∇u)}dx≥0,(∀v∈(G),v≥ψ-u).
- variational inequality /
- obstacle problem /
- gradient /
- Hǒlder continuity

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