The Nehari manifold for a semilinear elliptic equation involving a sublinear term

K. J. Brown

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

The Nehari manifold for the equation -? u(x) = ? u(x) + b(x) |u(x)|?- 2u(x) for x e ? together with Dirichlet boundary conditions is investigated in the case where 1 < ? < 2. Exploiting the relationship between the Nehari manifold and fibrering maps (i.e., maps of the form t ? J(tu) where J is the Euler functional associated with the equation), we discuss how the Nehari manifold changes as ? changes and show how this is linked to results on bifurcation from infinity which are associated with the problem. © Springer-Verlag 2004.

Original languageEnglish
Pages (from-to)483-494
Number of pages12
JournalCalculus of Variations and Partial Differential Equations
Volume22
Issue number4
DOIs
Publication statusPublished - Apr 2005

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