Critical point approaches to quasilinear second order differential equations depending on a parameter
Keywords
Dirichlet problem, critical point, three solutions, variational methodsAbstract
In this paper, we make application of some three-critical points results to establish the existence of at least three solutions for a boundary value problem for the quasilinear second order differential equation on a compact interval $[a,b]\subset\mathbb{R}$, $$ \cases -u''=(\lambda f(x,u)+g(x,u))h(x,u') &\text{\rm in } (a,b),\\ u(a)=u(b)=0, \endcases $$ under appropriate hypotheses. We exhibit the existence of at least three (weak) solutions.Downloads
Published
2016-04-12
How to Cite
1.
HEIDARKHANI, Shapour and HENDERSON, Johnny. Critical point approaches to quasilinear second order differential equations depending on a parameter. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 1, pp. 177 - 197. [Accessed 28 March 2024].
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