On the first eigenvalue of a fourth order Steklov problem
نویسندگان
چکیده
منابع مشابه
On the First Eigenvalue of a Fourth Order Steklov Problem
We prove some results about the first Steklov eigenvalue d1 of the biharmonic operator in bounded domains. Firstly, we show that Fichera’s principle of duality [9] may be extended to a wide class of nonsmooth domains. Next, we study the optimization of d1 for varying domains: we disprove a long-standing conjecture, we show some new and unexpected features and we suggest some challenging problem...
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In the paper, a two-grid discretization scheme is discussed for the Steklov eigenvalue problem. With the scheme, the solution of the Steklov eigenvalue problem on a fine grid is reduced to the solution of the Steklov eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. Using spectral approximation theory, it is shown theoretically that the tw...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2008
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-008-0199-9