Geodesic
Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 395-415.

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In this paper we show some results of multiplicity and existence of sign-changing solutions using a mountain pass theorem in ordered intervals, for a class of quasi-linear elliptic Dirichlet problems. As a by product we construct a special pseudo-gradient vector field and a negative pseudo-gradient flow for the nondifferentiable functional associated to our class of problems.
Classification : 35J20, 35J25, 35J60, 35J62, 35J65
Keywords: sign-changing; mountain-pass theorem; ordered intervals 
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     title = {Sign-changing solutions and multiplicity results for some quasi-linear elliptic {Dirichlet} problems},
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Omana, Rebecca Walo. Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 395-415. http://geodesic.mathdoc.fr/item/CMUC_2007__48_3_a2/