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VOL. 10 | 1986 Remarks on multiple solutions of nonlinear equations


In this lecture, we discuss some of our recent work on the number of solutions of weakly nonlinear elliptic partial differential equations. In particular, we discuss cases where the answers were surprising (at least to me). In $\S 1$, we have rather fewer solutions than one might expect while in $\S 2$, we have rather more solutions than one might expect. The discussion in $\S 1$ is rather brief since a more complete discussion appears in [4].


Published: 1 January 1986
First available in Project Euclid: 18 November 2014

zbMATH: 0597.35048
MathSciNet: MR857651

Rights: Copyright © 1986, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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