Hostname: page-component-848d4c4894-nmvwc Total loading time: 0 Render date: 2024-06-13T15:55:14.515Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiple positive solutions for an unbounded Dirichlet boundary problem involving sign-changing weight

Published online by Cambridge University Press:  04 November 2009

Tsung-fang Wu
Tsung-fang Wu
Affiliation:
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan, (tfwu@nuk.edu.tw)
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the multiplicity of positive solutions for the following semilinear elliptic equation:

where 1 < q < 2 < p < 2* (2* = 2N/(N − 2) if N ≥ 3, 2* = ∞ if N = 2), the parameters λ, μ ≥ 0, is an infinite strip in ℝN and Θ is a bounded domain in ℝN−1 We assume that fλ(x) = λf+(x) + f−(x) and gμ(x) = a(x) + μb(x), where the functions f±, a and b satisfy suitable conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1297 - 1325
Copyright
Copyright © Royal Society of Edinburgh 2009

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.)