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October  2005, 12(5): 817-826. doi: 10.3934/dcds.2005.12.817

Some examples on solution structures for weakly nonlinear elliptic equations

E. N. Dancer 1,

1. 

School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia

Received  September 2003 Revised  November 2004 Published  February 2005

We discuss bifurcation problems for weakly nonlinear elliptic elliptic equations involving a pth power term where p is larger than 1 but close to 1.We show that in a number of cases one can obtain rather complete information about the structure of the set of positive solutions.These results apply to any bounded domain.
Keywords: general domains., simple bifurcations, Global solution structures.
Mathematics Subject Classification: 35J65, 47J1.
Citation: E. N. Dancer. Some examples on solution structures for weakly nonlinear elliptic equations. Discrete & Continuous Dynamical Systems, 2005, 12 (5) : 817-826. doi: 10.3934/dcds.2005.12.817
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