Displaying similar documents to “Morse theory for indefinite nonlinear elliptic problems”

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

Rebecca Walo Omana (2007)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.