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- Title
THREE SOLUTIONS FOR A QUASILINEAR TWO-POINT BOUNDARY-VALUE PROBLEM INVOLVING THE ONE-DIMENSIONAL p-LAPLACIAN.
- Authors
Averna, Diego; Bonanno, Gabriele
- Abstract
In this paper we prove the existence of at least three classical solutions for the problem { −(|u'|p-2u')' = λ ƒ(t,u)h(u'), u(a) = u(b) = 0, when λ 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. Analysis 22 (2003), 93–103).
- Publication
Proceedings of the Edinburgh Mathematical Society, 2004, Vol 47, Issue 2, p257
- ISSN
0013-0915
- Publication type
Article
- DOI
10.1017/s0013091502000767