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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… Click to show full 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 pā1+ and pā+ā is studied.
Keywords:
radial symmetric;
eigenvalues eigenfunctions;
symmetric eigenvalues;
unexpected properties;
properties radial;
eigenfunctions laplacian
Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!