@article { ,
title = {Sequential and continuum bifurcations in degenerate elliptic equations},
abstract = {We examine the bifurcations to positive and sign-changing solutions of degenerate elliptic equations. In the problems we study, which do not represent Fredholm operators, we show that there is a critical parameter value at which an infinity of bifurcations occur from the trivial solution. Moreover, a bifurcation occurs at each point in some unbounded interval in parameter space. We apply our results to non-monotone eigenvalue problems, degenerate semi-linear elliptic equations, boundary value differential-algebraic equations and fully non-linear elliptic equations.},
doi = {10.1090/S0002-9939-03-06979-X},
issn = {0002-9939},
issue = {01},
journal = {Proceedings of the American Mathematical Society},
pages = {165-174},
publicationstatus = {Published},
publisher = {American Mathematical Society},
url = {https://uwe-repository.worktribe.com/output/1064230},
volume = {132},
keyword = {Unconventional Computing Group, degenerate elliptic equations, sequential and continuum bifurcations, differential-algebraic equations, degenerate diffusion},
year = {2004},
author = {Beardmore, R. E. and Laister, Robert}
}