Hostname: page-component-5cf477f64f-zrtmk Total loading time: 0 Render date: 2025-04-04T04:23:50.346Z Has data issue: false hasContentIssue false
  • English
  • Français

Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem

Published online by Cambridge University Press:  08 July 2009

Pedro M. Girão  and
José Maria Gomes
Pedro M. Girão
Affiliation:
Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal ([email protected])
José Maria Gomes
Affiliation:
Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We construct multi-bump nodal solutions of the elliptic equation

in , when μ is large, under appropriate assumptions, for f superlinear and subcritical and such that the eigenvalues of the associated linearized operator on at zero, u ↦ u − λ(−Δ)−1(a+u), are positive. The solutions are of least energy in some Nehari-type set defined by imposing suitable conditions on orthogonal components of functions in .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 4 , August 2009 , pp. 797 - 817
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.)