Abstract and Applied Analysis

PDF
Abstract and Applied Analysis / 2002 / Article

On this page

AbstractCopyright

Open Access

Volume 7 |Article ID 825891 | 8 pages | https://doi.org/10.1155/S1085337502207046

On an asymptotically linear elliptic Dirichlet problem

Zhitao Zhang,1 Shujie Li,1 Shibo Liu,1 and Weijie Feng1

1Institute of Mathematics, Academy of Mathematics and Systems Sciences, Academia Sinica, Beijing 100080, China

Received02 Jul 2002

Abstract

Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

98 Views | 474 Downloads | 16 Citations
PDF Download Citation Citation
Order printed copiesOrder

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at help@hindawi.com to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.