THE FIRST EIGENVALUE FOR THE p-LAPLACIAN OPERATOR
THE FIRST EIGENVALUE FOR THE p-LAPLACIAN OPERATOR
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发表时间：
2005
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通讯作者：
Idrissa LY Laboratoire
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作者：
Idrissa LY Laboratoire
利用几何域上容量约束下开集空间上的Hausdorff拓扑，证明了一类p-Laplacian Dirichlet问题解在运动域上的强连续性。我们也对给定测度的开集和拟开集之间具有Dirichlet边界条件的p-拉普拉斯算子的第一特征值的最小化问题感兴趣。
In this paper, using the Hausdorff topology in the space of open sets under some capacity constraints on geometrical domains we prove the strong continuity with respect to the moving domain of the solutions of a p-Laplacian Dirichlet problem. We are also interested in the minimization of the first eigenvalue of the p-Laplacian with Dirichlet boundary conditions among open sets and quasi open sets of given measure.