An overdetermined problem with non-constant boundary condition
An overdetermined problem with non-constant boundary condition
复制标题
具有非恒定边界条件的超定问题
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
P. Salani
中科院分区：
文献类型：
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作者：
C. Bianchini;A. Henrot;P. Salani
本文研究了一个超定挠问题，其梯度具有非常数的正齐次边界约束。我们将此问题解释为形状优化问题的欧拉方程，证明了解的存在性和正则性。此外，几个几何性质的解决方案。
We investigate an overdetermined Torsion problem, with a non-constant positively homogeneous boundary constraint on the gradient. We interpret this problem as the Euler equation of a shape optimization problems, we prove existence and regularity of a solution. Moreover several geometric properties of the solution are shown.