Article ID Journal Published Year Pages File Type
5774181 Journal of Differential Equations 2017 18 Pages PDF
Abstract
We discuss several properties of eigenvalues and eigenfunctions of the p-Laplacian on a ball subject to zero Dirichlet boundary conditions. Among main results, in two dimensions, we show the existence of nonradial eigenfunctions which correspond to the radial eigenvalues. Also we prove the existence of eigenfunctions whose shape of the nodal set cannot occur in the linear case p=2. Moreover, the limit behavior of some eigenvalues as p→1+ and p→+∞ is studied.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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