Some bifurcation results for rapidly growing nonlinearities

E. N. Dancer

doi:10.3934/dcds.2013.33.153

Article Contents

2013, Volume 33, Issue 1: 153-161. Doi: 10.3934/dcds.2013.33.153

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Some bifurcation results for rapidly growing nonlinearities

E. N. Dancer^1,

1.
School of Mathematics and Statistics, The University of Sydney, NSW 2006

Received: August 2011

Revised: January 2012

Published: January 2013

Abstract Related Papers Cited by

Abstract

We prove results on when nonlinear elliptic equations have infinitely many bifurcations if the nonlinearities grow rapidly.

Keywords:

Nonlinear elliptic equations with rapidly growing nonlinearities,
many bifurcations.

Mathematics Subject Classification: Primary: 35A15, 35J25, 47H50, 58E99.

Citation:

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References

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