Abstract
We present three criteria for bifurcation from infinity of solutions of general boundary value problems for nonlinear elliptic systems of partial differential equations. Our sufficient conditions for bifurcation are computable, via the Atiyah–Singer family index theorem, from the coefficients of derivatives of leading order of the linearized differential operators and do not involve the analysis of the asymptotic derivative at infinity.
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Pejsachowicz, J. The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems. J. Fixed Point Theory Appl. 17, 43–64 (2015). https://doi.org/10.1007/s11784-015-0237-0
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DOI: https://doi.org/10.1007/s11784-015-0237-0