In this paper we consider the following nonlocal fractional variational inequality u∈X0 s(Ω),u⩽ψa.e. in Ω,〈u,v−u〉X0 s(Ω)−λ〈u,v−u〉2⩾∫Ωfx,u(x),(−Δ)βu(x)(v(x)−u(x))dxaaaaaaaaaaaaaaaaaaaaaaaaaaaaafor anyv∈X0 s(Ω),v⩽ψa.e. in ...

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 ...

We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ...

We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ...

In this work we introduce a method to determine the time dependent probability density for the one-dimensional Fokker-Planck equation. The treatment is based in an analysis of the Schrodinger equation through the variational ...

In this work we introduce a method to determine the time dependent probability density for the one-dimensional Fokker-Planck equation. The treatment is based in an analysis of the Schrodinger equation through the variational ...

This article proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the iterative sequences' convergence and of the range of applicability of the method ...

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 ...

A variational inequality problem (VIP) satisfying a constraint qualification can be reduced to a mixed complementarity problem (MCP). Monotonicity of the VIP implies that the MCP is also monotone. Introducing regularizing ...