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

Comment.Math.Univ.Carolin. 48,3 (2007) 395-415.

Abstract: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.

Keywords: sign-changing, mountain-pass theorem, ordered intervals
AMS Subject Classification: 35J25, 35J65