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math.AP2010
On the nodal line of the second eigenfunction of the Laplacian over some concave domains in
Donghui Yang
In this paper we will prove the nodal line of the second eigenfunction of the Laplacian over some simply connected concave domain in must intersect the bound…
math.GN2010
A new compact class of open sets under Hausdorff distance and shape optimization
Donghui Yang
In this paper we obtain a new class of open sets, and we prove the class is compact under the Hausdorff distance, then we prove the existence of solutions of some shape optimizatio…