98 citations · 695 across the 42 of their papers we have counts for
17 papers · 1 filter
Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in
Vincenzo Ambrosio, Hichem Hajaiej
This paper is concerned with the following fractional Schrödinger equation \begin{equation*} \left\{ \begin{array}{ll} (-Δ)^{s} u+u= k(x)f(u)+h(x) \mbox{ in } \mathbb{R}^{N}\\ u\in…
Concentrating solutions for a class of nonlinear fractional Schrödinger equations in
Vincenzo Ambrosio
We deal with the existence of positive solutions for the following fractional Schrödinger equation $$ \varepsilon ^{2s} (-Δ)^{s} u + V(x) u = f(u) \mbox{ in } \mathbb{R}^{N}, $$ wh…
Ground state solutions for a fractional Schrödinger equation with critical growth
Vincenzo Ambrosio, Giovany M. Figueiredo
In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation \begin{align*} (-Δ)^{s} u+V(x)u= f(u) \mbox{ in }…
Periodic solutions for a fractional asymptotically linear problem
Vincenzo Ambrosio, Giovanni Molica Bisci
We study the existence and multiplicity of periodic weak solutions for a non-local equation involving an odd subcritical nonlinearity which is asymptotically linear at infinity. We…
Nonlinear equations involving the square root of the Laplacian
Vincenzo Ambrosio, Giovanni Molica Bisci, Dušan D. Repovš
In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian in a smooth bound…
Sign-changing solutions for a class of fractional Schrödinger equations with vanishing potentials
Vincenzo Ambrosio, Teresa Isernia
In this paper we consider a class of fractional Schrödinger equations with potentials vanishing at infinity. By using a minimization argument and a quantitative deformation Lemma,…