Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-01-12T23:40:57.042Z Has data issue: false hasContentIssue false
  • English
  • Français

An existence result on positive solutions for a class of semilinear elliptic systems

Published online by Cambridge University Press:  12 July 2007

D. D. Hai  and
R. Shivaji
D. D. Hai
Affiliation:
Department of Mathematics, Mississippi State University, Mississippi State, MS 39762, USA ([email protected])
R. Shivaji
Affiliation:
Department of Mathematics, Mississippi State University, Mississippi State, MS 39762, USA ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Consider the system where λ is a positive parameter and Ω is a bounded domain in RN. We prove the existence of a large positive solution for λ large when limx → ∞ (f(Mg(x))/x) = 0 for every M > 0. In particular, we do not need any monotonicity assumptions on f, g, nor any sign conditions on f(0), g(0).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 137 - 141
Copyright
Copyright © Royal Society of Edinburgh 2004

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.)