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Zbl 1158.34311
Afrouzi, G.A.; Heidarkhani, S.
Three solutions for a quasilinear boundary value problem.
(English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 10, A, 3330-3336 (2008). ISSN 0362-546X

Summary: Using B. Ricceri's three critical points theorem, we prove the existence of at least three weak solutions for the problem $$\cases u''+\lambda h(u')f(x,u)=u\quad &\text{in }(a,b),\\ u(a)=u(b)=0,\endcases$$ under appropriate hypotheses.
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE
58E50 Appl. of variational methods in infinite-dimensional spaces

Keywords: three solutions; critical point; multiplicity results; Dirichlet problem

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