Article ID Journal Published Year Pages File Type
844833 Nonlinear Analysis: Theory, Methods & Applications 2006 43 Pages PDF
Abstract

We study nonlinear eigenvalue problems for the pp-Laplace operator subject to different kinds of boundary conditions on a bounded domain. Using the Ljusternik–Schnirelman principle, we show the existence of a nondecreasing sequence of nonnegative eigenvalues. We prove the simplicity and isolation of the principal eigenvalue and give a characterization for the second eigenvalue.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,