most citedOn nonlinear Schrödinger equations with random potentials: existence and probabilistic properties

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.AP2018

Kirchhoff-Schrödinger equations in with critical exponential growth and indefinite potential

Marcelo F. Furtado, Henrique R. Zanata

We obtain the existence of ground state solution for the nonlocal problem $$ m\left(\int_{\mathbb{R}^2}(|\nabla u|^2 + b(x)u^2) \textrm{d}x\right)(-Δu + b(x)u) = A(x)f(u) \ \ \ \te…

math.AP2013★ 1 cited

On nonlinear Schrödinger equations with random potentials: existence and probabilistic properties

Leandro Cioletti, Lucas C. F. Ferreira, Marcelo Furtado

In this paper we are concerned with nonlinear Schrödinger equations with random potentials. Our class includes continuum and discrete potentials. Conditions on the potential …