Eigenvalue problems for the p-Laplacian
✍
An Lê
📂
Article
📅
2006
🏛
Elsevier Science
🌐
English
⚖ 347 KB
We study nonlinear eigenvalue problems for the p-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