Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.12.001
Abstract: Abstract Recently a new transform method, called the Unified Transform or the Fokas method, for solving boundary value problems (BVPs) for linear and integrable nonlinear partial differential equations (PDEs) has received a lot of attention.… read more here.
Keywords: eigenvalues eigenfunctions; computing eigenvalues; laplacian convex; eigenfunctions laplacian ... See more keywords
On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the p-Laplacian on a disk
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.03.028
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… read more here.
Keywords: radial symmetric; eigenvalues eigenfunctions; symmetric eigenvalues; unexpected properties ... See more keywords