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The existence of infinitely many solutions all bifurcating from λ = 0

Published online by Cambridge University Press:  14 November 2011

Wolfgang Rother
Wolfgang Rother
Affiliation:
Mathematisches Institut der Universität Bayreuth, Postfach 10 12 51, W-8580 Bayreuth, Germany
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Synopsis

We consider the non-linear differential equation

and state conditions for the function q such that (*) has infinitely many distinct pairs of (weak) solutions such that holds for all k ∈ ℕ. The main tools are results from critical point theory developed by A. Ambrosetti and P. H. Rabinowitz [1].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 3-4 , 1991 , pp. 295 - 303
Copyright
Copyright © Royal Society of Edinburgh 1991

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