Local and Global Bifurcation from Normal Eigenvalues. II
Document Type
Article
Publication Date
1-1978
Abstract
This paper studies the bifurcation of solutions of nonlinear eigenvalue problems of the form Lu = λu + H(λ,u), where L is linear and H is o(∥u∥) uniformly on bounded λ intervals. This paper shows that isolated eigenvalues of L having odd multiplicity are bifurcation points if H merely has a “degree” of compactness, but is not necessarily compact (treated in [3], [5]). Moreover, a global alternative theorem follows.
Source Publication
Pacific Journal of Mathematics (ISSN 0030-8730)
Recommended Citation
MacBain, J. (1978). Local and global bifurcation from normal eigenvalues. II. Pacific Journal of Mathematics, 74(1), 143–152. https://doi.org/10.2140/pjm.1978.74.143
COinS
Comments
© Copyright 1978 Pacific Journal of Mathematics. All rights reserved.
The "Link to Full Text" opens the full article as hosted at Project Euclid.
This is the second of two articles. See also: Local and global bifurcation from normal eigenvalues. Pacific J. Math. 63(1976). scholar.afit.edu/facpub/3049