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Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems

Rebecca Walo Omana — 2007

Commentationes Mathematicae Universitatis Carolinae

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.

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