Hostname: page-component-669899f699-rg895 Total loading time: 0 Render date: 2025-04-26T02:13:33.191Z Has data issue: false hasContentIssue false
  • English
  • Français

On the existence of multiple positive solutions to some superlinear systems

Published online by Cambridge University Press:  30 January 2012

M. Chhetri ,
S. Raynor  and
S. Robinson
M. Chhetri
Affiliation:
Department of Mathematics and Statistics, The University of North Carolina at Greensboro, NC 27402, USA ([email protected])
S. Raynor
Affiliation:
Department of Mathematics, Wake Forest University, PO Box 7388, Winston Salem, NC 27109, USA ([email protected]; [email protected])
S. Robinson
Affiliation:
Department of Mathematics, Wake Forest University, PO Box 7388, Winston Salem, NC 27109, USA ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We use the method of upper and lower solutions combined with degree-theoretic techniques to prove the existence of multiple positive solutions to some superlinear elliptic systems of the form

on a smooth, bounded domain Ω⊂ℝn with Dirichlet boundary conditions, under suitable conditions on g1 and g2. Our techniques apply generally to subcritical, superlinear problems with a certain concave–convex shape to their nonlinearity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 39 - 59
Copyright
Copyright © Royal Society of Edinburgh 2012

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.)

Article purchase

Temporarily unavailable