204182
20190522142440.0
doi
10.1017/S0308210513000486
0308-2105
ISI
000343761000008
ARTICLE
Bifurcation at isolated singular points of the Hadamard derivative
Cambridge
Royal Society of Edinburgh Scotland Foundation, Cambridge
2014
2014
39
Journal Articles
National Licences
For Banach spaces X and Y, we consider bifurcation from the line of trivial solutions for the equation F(lambda, u) = 0, where F : R x X -> Y with F(lambda, 0) = 0 for all lambda is an element of R. The focus is on the situation where F(lambda, center dot) is only Hadamard differentiable at 0 and Lipschitz continuous on some open neighbourhood of 0, without requiring any Frechet differentiability. Applications of the results obtained here to some problems involving nonlinear elliptic equations on R-N, where Frechet differentiability is not available, are presented in some related papers, which shed light on the relevance of our hypotheses.
Stuart, C. A.
144
5
1027-1065
Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics
7583
http://infoscience.epfl.ch/record/204182/files/S0308210513000486.pdf
PUBLISHER'S VERSION
252057
ANA
oai:infoscience.tind.io:204182
article
EPFL-ARTICLE-204182
EPFL
REVIEWED
PUBLISHED
ARTICLE