Author:
Averna Diego,Bonanno Gabriele
Abstract
AbstractIn this paper we prove the existence of at least three classical solutions for the problem$$ \left\{ \begin{aligned} \amp-(|u'|^{p-2}u')'=\lambda f(t,u)h(u'), \\ \ampu(a)=u(b)=0, \end{aligned} \right. $$when $\lambda$ lies in an explicitly determined open interval.Our main tool is a very recent three-critical-points theorem stated in a paper by D. Averna and G. Bonanno (Topolog. Meth. Nonlin. Analysis22 (2003), 93–103).AMS 2000 Mathematics subject classification: Primary 34B15
Publisher
Cambridge University Press (CUP)
Cited by
25 articles.
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