An alternative approach to the Faber–Krahn inequality for Robin problems
An alternative approach to the Faber–Krahn inequality for Robin problems
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DOI：
10.1007/s00526-009-0252-3
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发表时间：
2009
影响因子：
2.1
通讯作者：
D. Bucur;D. Daners
中科院分区：
文献类型：
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作者：
D. Bucur;D. Daners
给出了具有Robin边界条件的拉普拉斯算子第一特征值的Faber-Krahn不等式的一个简单证明。所介绍的技术允许通过使用测试函数参数来处理不那么规则的域。我们实质上简化了先前的证明，同时在更大的一类域上建立了不等式的尖锐性。
We give a simple proof of the Faber–Krahn inequality for the first eigenvalue of thep-Laplace operator with Robin boundary conditions. The techniques introduced allow to work with much less regular domains by using test function arguments. We substantially simplify earlier proofs, and establish the sharpness of the inequality for a larger class of domains at the same time.