Author:
FERNÁNDEZ BONDER JULIÁN,PINASCO JUAN P.,SALORT ARIEL M.
Abstract
In this work we study the homogenisation problem for nonlinear elliptic equations involving$p$-Laplacian-type operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues. We show that the$k$th positive eigenvalue goes to infinity when the average of the weights is nonpositive, and converges to the$k$th variational eigenvalue of the limit problem when the average is positive for any$k\geq 1$.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献