Differential and Integral Equations

Connected sets of solutions for a nonlinear Neumann problem

Anna Gołębiewska and Joanna Kluczenko

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Abstract

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

Article information

Source
Differential Integral Equations, Volume 30, Number 11/12 (2017), 833-852.

Dates
First available in Project Euclid: 1 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1504231276

Mathematical Reviews number (MathSciNet)
MR3693988

Zentralblatt MATH identifier
06819581

Subjects
Primary: 35B32: Bifurcation [See also 37Gxx, 37K50] 37G40: Symmetries, equivariant bifurcation theory

Citation

Gołębiewska, Anna; Kluczenko, Joanna. Connected sets of solutions for a nonlinear Neumann problem. Differential Integral Equations 30 (2017), no. 11/12, 833--852. https://projecteuclid.org/euclid.die/1504231276


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