An Alternative Approach to the Faber-krahn Inequality for Robin Problems

  title={An Alternative Approach to the Faber-krahn Inequality for Robin Problems},
  author={Daniel Daners},
It is isolated and simple, and the corresponding eigenfunction can be chosen to be positive. The aim of this paper is twofold. First, we extend results from [8, 10] and [6] to a larger class of domains. Second, we substantially simplify many arguments. The idea is to work only with the weak form of the equation, and replace most key arguments requiring boundary regularity by test function arguments. The main result is the following isoperimetric inequality. 

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