The quantitative Faber-Krahn inequality for the Robin Laplacian
classification
🧮 math.AP
keywords
robinasymmetryfaber-krahninequalityquantitativeboundaryconditionsconstant
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We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the Fraenkel asymmetry, multiplied by a constant depending on the Robin parameter, the dimension of the space and the measure of the set.
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