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

@inproceedings{Daners2009AnAA,
  title={An Alternative Approach to the Faber-krahn Inequality for Robin Problems},
  author={Daniel Daners},
  year={2009}
}
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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References

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Showing 1-10 of 19 references

Faber-Krahn inequality for Robin problem involving p- Laplacian

Q. Dai, Y. Fu
Preprint • 2008
View 3 Excerpts

Geometrical aspects of symmetrization

N. Fusco
Calculus of variations and nonlinear partial differential equations, Lecture Notes in Math., vol. 1927, Springer, Berlin • 2008

Positive eigenfunctions for the p- Laplace operator revisited

B. Kawohl, P. Lindqvist
Analysis (Munich) 26 • 2006
View 1 Excerpt

The Laplacian with Robin boundary conditions on arbitrary domains

W. Arendt, M. Warma
Potential Anal. 19 • 2003
View 1 Excerpt

A direct uniqueness proof for equations involving the p-Laplace operator

M. Belloni, B. Kawohl
Manuscripta Math. 109 • 2002
View 1 Excerpt

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