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Solutions of systems of elliptic differential equations on circular domains

✍ Scribed by Joanna Gawrycka; Sławomir Rybicki

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 275 KB
Volume: 59
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.08.017

No coin nor oath required. For personal study only.

✦ Synopsis

We study global bifurcation of weak solutions of systems of elliptic differential equations considered on SO(2)-invariant domains. We formulate sufficient conditions for the existence of unbounded continua of nontrivial solutions branching from the trivial ones. As the main tool we use the degree for SO(2)-equivariant gradient maps defined by the second author in Rybicki (Nonlinear Anal. TMA 23(1) (1994) 83).

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