In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of ...

We introduce the notion of bounded p-variation in the sense of [L.sub.p]-norm. We obtain a Riesz type result for functions of bounded p-variation in the mean. We show that if the Nemytskii operator map the bounded ...

In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Δ1 2u=Δ([Formula presented]). We consider different geometrical ...

In this work it is studied a quasilinear elliptic problem in the whole space RN involving the 1-Laplacian operator, with potentials which can vanish at infinity. The Euler–Lagrange functional is defined in a space whose ...

Variational inequalities and related problems may be solved via smooth bound constrained optimization. A comprehensive discussion of the important features involved with this strategy is presented. Complementarity problems ...

Variational inequalities and related problems may be solved via smooth bound constrained optimization. A comprehensive discussion of the important features involved with this strategy is presented. Complementarity problems ...

In this work we state and prove versions of some classical results, in the framework of functionals defined in the space of functions of bounded variation in RN. More precisely, we present versions of the Radial Lemma of ...