%0 Journal Article %T Three Solutions Theorem for a Quasilinear Dirichlet Boundary Value Problem %A Goncerz, Paweł %J Schedae Informaticae %V 2012 %R 10.4467/20838476SI.12.010.0820 %N Volume 21 %P 159-168 %K Carathéodory function, Dirichlet problem, p-Laplacian, three critical points theorem, weak solution %@ 1732-3916 %D 2012 %U https://ejournals.eu/en/journal/schedae-informaticae/article/three-solutions-theorem-for-a-quasilinear-dirichlet-boundary-value-problem %X We consider a Dirichlet boundary value problem driven by the p-Laplacian with the right hand side being a Carathéodory function. The existence of solutions is obtained by the use of a special form of the three critical points theorem.