22 research outputs found
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
We study a Dirichlet boundary value problem associated to an anisotropic
differential operator on a smooth bounded of . Our main result
establishes the existence of at least two different non-negative solutions,
provided a certain parameter lies in a certain range. Our approach relies on
the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined
with adequate variational methods and a variant of Mountain Pass lemma.Comment: Proceedings A of the Royal Society of London, in pres