An isoperimetric inequality for a nonlinear eigenvalue problem
classification
🧮 math.AP
keywords
eigenvalueinequalityisoperimetricnonlinearballsdirichletequalfirst
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We prove an isoperimetric inequality of the Rayleigh-Faber-Krahn type for a nonlinear generalization of the first twisted Dirichlet eigenvalue. More precisely, we show that the minimizer among sets of given volume is the union of two equal balls.
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