Existence and multiplicity results for elliptic problems with Nonlinear Boundary Conditions and variable exponents

Abstract

abstract: By applying the Ricceri's three critical points theorem, we show the existence of at least three solutions to the following elleptic problem: is a bounded domain of smooth boundary ∂Ω and ν is the outward normal vector on ∂Ω. p : Ω → R, a : Ω × R N → R N , f : Ω × R → R and g : ∂Ω × R → R are fulfilling appropriate conditions