# American Institute of Mathematical Sciences

November  2012, 32(11): 3861-3869. doi: 10.3934/dcds.2012.32.3861

## On domain perturbation for super-linear Neumann problems and a question of Y. Lou, W-M Ni and L. Su

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

Received  February 2011 Revised  June 2011 Published  June 2012

We prove a new domain variation result for Neumann problems and apply it to give new examples of non-uniqueness of positive solutions.
Citation: E. N. Dancer. On domain perturbation for super-linear Neumann problems and a question of Y. Lou, W-M Ni and L. Su. Discrete & Continuous Dynamical Systems - A, 2012, 32 (11) : 3861-3869. doi: 10.3934/dcds.2012.32.3861
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