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Existence of three solutions for a quasilinear two-point boundary value problem. (English) Zbl 1039.34011
The authors investigate a quasilinear second-order differential equation with Dirichlet boundary conditions, i.e., $(\varphi_p(u'))'+\lambda f(t,u)=0$, $u(a)=u(b)=0$, where $\varphi_p(v):=\vert v\vert ^{p-2}v$, $p>1$ is a constant. The existence of an open interval of parameters which ensures this problem admits at least three solutions is determined by using the critical point theory.

##### MSC:
 34B15 Nonlinear boundary value problems for ODE 34B24 Sturm-Liouville theory
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##### References:
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