<b>Eigenvalues of an Operator Homogeneous at the Infinity</b> - 10.5269/bspm.v28i1.10815
Resumo
In this paper, we show the existence of a sequences of eigenvalues for an operator homogenous at the infinity, we give his variational formulation and we establish the simplicity of all eigenvalues in the case N = 1. Finally we study the solvability of the problem \mathcal{A}u = -div (A(x,\nabla u)) = f(x,u) + h, in \Omega, u=0 on \partial \Omega, as well as the spectrum of G_0'(u)= \lambda m |u|^{p-2}u in \Omega, u=0 on \partial \Omega.
Downloads
Não há dados estatísticos.
Publicado
2010-08-05
Edição
Seção
Artigos
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).