Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-24T08:24:17.107Z Has data issue: false hasContentIssue false
  • English
  • Français

Variational approach to bifurcation from infinity for nonlinear elliptic problems

Published online by Cambridge University Press:  18 March 2013

Jaeyoung Byeon  and
Youngae Lee
Jaeyoung Byeon
Affiliation:
Department of Mathematics, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, Republic of Korea ([email protected]; [email protected])
Youngae Lee
Affiliation:
Department of Mathematics, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, Republic of Korea ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

For any N ⩾ 1 and sufficiently small ε > 0, we find a positive solution of a nonlinear elliptic equation

when lim|x| → ∞V(x) = m > 0 and some optimal conditions on f are satisfied. Furthermore, we investigate the asymptotic behaviour of the solution as ε → 0.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 2 , April 2013 , pp. 269 - 301
Copyright
Copyright © Royal Society of Edinburgh 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)