Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space
نویسندگان
چکیده
منابع مشابه
Isoperimetric Inequalities for a Nonlinear Eigenvalue Problem
An estimate for the spectrum of the two-dimensional eigenvalue problem Am + Xe" = 0 in D (X > 0), u = 0 on 3 D is derived, and upper and lower pointwise bounds for the solutions are constructed. 1. Let D be a simply connected bounded domain in the plane with a piecewise analytic boundary 3D. Consider the nonlinear Dirichlet problem Am(x) + Xe"w = 0 in D, (1) u(x) = 0 on dD, where X is a positiv...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2012
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.10.002