Document Zbl 1413.35059

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Connected sets of solutions for a nonlinear Neumann problem. (English) Zbl 1413.35059

Differ. Integral Equ. 30, No. 11-12, 833-852 (2017).

Summary: The aim of this paper is to study connected, unbounded sets of solutions of the non-cooperative elliptic system of equations with Neumann boundary conditions. The existence of such sets is obtained by proving the bifurcation from infinity. To this end we apply the degree for \(G\)-invariant strongly indefinite functionals.

Cited in 5 Documents

MSC:

35B32	Bifurcations in context of PDEs
37G40	Dynamical aspects of symmetries, equivariant bifurcation theory

Keywords:

strongly indefinite functional; bifurcation index at infinity; \(G\)-representation; spectrum

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